Question 13 Marks
Find the difference of: $6\text{ and }\frac{23}{3}$
AnswerWe have, $6$ and $\frac{23}{3}$ The difference between $6$ and $\frac{23}{3}$
$=\frac{23}{3}-\frac{18}{3}$
$=\frac{23-18}{3}$
$=\frac{5}{3}$
View full question & answer→Question 23 Marks
Find the difference of:
$\frac{21}{25}\text{ and }\frac{18}{20}$
AnswerWe have,
$\frac{21}{25}\text{ and }\frac{18}{20}$
Taking out the $LCM$ of $25$ and $20$, we get
$5 \times 5 \times 4 = 100$
Now, we convert the given fractions tp equivalent fractions by making the denominators $100$
$\frac{21\times4}{25\times4}\text{ and }\frac{18\times5}{20\times5}$
The difference between both the fractions are,
$=\frac{90-84}{100}$
$=\frac{6}{100}$
$=\frac{3}{50}$
View full question & answer→Question 33 Marks
Find the product: $\frac{4}{7}\times\frac{14}{25}$
AnswerWe have, $\frac{4}{7}\times\frac{14}{25}$ $=\frac{4\times14}{7\times25}$ $=\frac{56}{175}$ $=\frac{8}{25}$
View full question & answer→Question 43 Marks
lf milk is avaitabte at $₹\ 17\frac{3}{4}$ per litre, find the cost of $7\frac{2}{5}$ litres of milk.
Answer$₹\ 17\frac{3}{4}=₹\ \frac{71}{4}$ And, $7\frac{2}{5}\text{ litres}=\frac{37}{5}\text{ litres}$
The cost of milk per litre $=₹\ \frac{71}{4}$
The cost of milk per $\frac{37}{5}$ litres $=₹\ \frac{37}{5}\times\frac{71}{4}$
$=₹\ \frac{2327}{20}$
$=₹\ 131\frac{7}{20}$
View full question & answer→Question 53 Marks
Find the sum: $2\frac{3}{5}+4\frac{7}{10}+2\frac{4}{15}$
AnswerWe have, $2\frac{3}{5}+4\frac{7}{10}+2\frac{4}{15}$ $=\frac{13}{5}+\frac{47}{10}+\frac{34}{15}$
Taking out the $LCM$ of $5, 10$ and $15$, we get $5 \times 2 \times 3 = 30$
Now, we convert the given fractions to equivalent fractions by making the denominators $30$
$\frac{78}{30}+\frac{141}{30}+\frac{68}{30}$ $=\frac{287}{30}$
View full question & answer→Question 63 Marks
Waht should be added to $5\frac{3}{7}$ to get $12$?
AnswerWe have, $5\frac{3}{7}=\frac{38}{7}$
Let $x$ be the number added to $\frac{38}{7}$ to get $12$
Therefore, $\text{x}+387=12$
$\Rightarrow\text{x}=12-\frac{38}{7}$
$\Rightarrow\text{x}=\frac{12\times7-38}{7}$
$\Rightarrow\text{x}=\frac{84-38}{7}$
$\text{x}=\frac{46}{7}$
View full question & answer→Question 73 Marks
Find the sum: $4\frac{3}{4}+9\frac{2}{5}$
AnswerWe have, $4\frac{3}{4}+9\frac{2}{5}$
$=\frac{19}{4}+\frac{47}{5}$
Taking out the $LCM$ of $4$ and $5$, we get $4 \times 5 = 20$
Now, we convert the given fractions to equivalent fractions by making the denominators $20$ $=\frac{19\times5}{4\times5}+\frac{47\times4}{5\times4}$
$=\frac{95}{20}+\frac{188}{20}$
$=\frac{95+188}{20}$
$=\frac{283}{20}$
View full question & answer→Question 83 Marks
Find the difference: $\frac{6}{7}-\frac{9}{11}$
AnswerWe have, $\frac{6}{7}-\frac{9}{11}$
Taking out the $LCM$ of $7$ and $11$, we get $7 \times 11 = 77$
Now, we convert the given fractions to equivalent fractions by making the denominators
$77$ $=\frac{6\times11}{7\times11}\text{ and }\frac{9\times7}{11\times7}$
The difference between both the fractions are, $=\frac{66-63}{77}$
$=\frac{3}{77}$
View full question & answer→Question 93 Marks
The cost of mathematics book is ₹ $25\frac{3}{4}$ and that of science book is ₹ $20\frac{1}{2}.$ Which costs more and by how much?
AnswerGiven, The cost of Mathematics book is ₹ $25\frac{3}{4}$ and that of science book is $20\frac{1}{2}$
We need the compare the cost of mathematics and science book,
$25\frac{3}{4}=\frac{103}{4}\text{ and }20\frac{1}{2}=\frac{41}{2}$
Taking out the $LCM$ of $4$ and $2$, we get $2 \times 2 = 4$
Now, we convert the given fractions to equivalent fractions by making the denominators $4$,
we get, $=\frac{103}{4}$ And $\frac{41\times2}{2\times2}=\frac{82}{4}$
As we know, $103 > 82$ Therefore, $\frac{103}{4}>\frac{82}{4}$
Hence, the cost of mathematics book is more than of the cost of the science book.
View full question & answer→Question 103 Marks
Find the sum:
$\frac{5}{8}+\frac{3}{10}$
AnswerWe have,
$\frac{5}{8}+\frac{3}{10}$
Taking the $LCM$ of $8$ and $10$, we get
$2 \times 4 \times 5 = 40$
Now, we convert the given fractions to equivalent fractions by making the denominators $40$,
$=\frac{5\times5}{8\times5}+\frac{3\times4}{10\times4}$
$=\frac{25}{40}+\frac{12}{40}$
$=\frac{25+12}{40}$
$=\frac{37}{40}$
View full question & answer→Question 113 Marks
Find the sum: $\frac{5}{6}+3+\frac{3}{4}$
AnswerWe have, $\frac{5}{6}+3+\frac{3}{4}$
Taking out the $LCM$ of $6$ and $4$, we get $2 \times 2 \times 3 = 12$
Now, we convert the given fractions to equivalent fractions by making the denominators $12$ $=\frac{5\times2}{6\times2}+\frac{3\times12}{12}+\frac{3\times3}{4\times3}$
$=\frac{10}{12}+\frac{36}{12}+\frac{9}{12}$
$=\frac{10+36+9}{12}$
$=\frac{55}{12}$
View full question & answer→Question 123 Marks
Find the difference of: $3\frac{3}{10}\text{ and }2\frac{7}{15}$
AnswerWe have, $3\frac{3}{10}\text{ and }2\frac{7}{15}$
$=\frac{33}{10}\text{ and }\frac{37}{15}$ taking out the $LCM$ of $10$ and $15$,
we get $2 \times 3 \times 5 = 30$
Now, we convert the given fractions tp equivalent fractions by making the denominators
$30$ $=\frac{33\times3}{10\times3}\text{ and }\frac{37\times2}{15\times2}$
$=\frac{99}{30}\text{ and }\frac{74}{30}$
The difference between both the fractions are $=\frac{99-74}{30}$
$=\frac{25}{30}$
$=\frac{5}{6}$
View full question & answer→Question 133 Marks
Compare the following fractions by using the symbo $>$ or $<$ or = $\frac{7}{9}\text{ and }\frac{8}{13}$
AnswerWe have, $\frac{7}{9}\text{ and }\frac{8}{13}$
Taking the $LCM$ of $9$ and $13$ we get,$9 \times 3 = 117$
Now, we convert the given fractions to equivalent fractions by making the denominator $117$.
$\frac{7\times13}{9\times13}\text{ and }\frac{8\times9}{13\times9}$ $\frac{91}{117}\text{ and }\frac{72}{117}$
As we know, $91 > 72$ Therefore, $\frac{91}{117}>\frac{72}{117}$
View full question & answer→Question 143 Marks
Find the area of a rectangular park which is $41\frac{2}{3}\text{m}$ long and $18\frac{3}{5}\text{m}$ broad.
AnswerGiven, $41\frac{2}{3}\text{m}=\frac{145}{3}\text{m}$ And, $18\frac{3}{5}\text{m}=\frac{93}{5}\text{m}$
Area of a rectangular park = (length $\times$ breadth) $=\Big(\frac{125}{3}\text{m}\times\frac{93}{5}\text{m}\Big)$
$=\Big(\frac{125\times93}{15}\Big)\text{m}^2$
$=\Big(\frac{11625}{15}\Big)\text{m}^2$
$=775\text{m}^2$
View full question & answer→Question 153 Marks
Multiply the following fraction and reduce them to lowest form (if possible):
$\frac{4}{5} \times \frac{12}{7}$
View full question & answer→Question 163 Marks
Simplify: $2 \frac{2}{17} \times 7 \frac{2}{9} \times 1 \frac{33}{52}$
View full question & answer→Question 173 Marks
Multiply the following fraction and reduce them to lowest form (if possible):
$\frac{2}{3} \times \frac{15}{8}$
View full question & answer→Question 183 Marks
Simplify: $\frac{10}{27} \times \frac{39}{56} \times \frac{28}{65}$
View full question & answer→Question 193 Marks
Multiply the following fraction and reduce them to lowest form (if possible):
$\frac{9}{16} \times \frac{8}{15}$
View full question & answer→Question 203 Marks
Simplify: $\frac{12}{25} \times \frac{15}{28} \times \frac{35}{36}$
View full question & answer→Question 213 Marks
Multiply the following fraction and reduce them to lowest form (if possible):
$\frac{5}{8} \times \frac{2}{3}$
View full question & answer→Question 223 Marks
Find the area of a rectangular park which is $41 \frac{2}{3} m$ long and $18 \frac{3}{5} m$ broad.
View full question & answer→Question 233 Marks
Ravish reads $\frac{1}{3}$ part of a book in 1 hour. How much part of the book will he read in $2 \frac{1}{5}$ hours?
View full question & answer→Question 243 Marks
Find the reciprocal fraction and classify them as proper, improper, or whole number.
$\frac{1}{8}$
View full question & answer→Question 253 Marks
Find the reciprocal fraction and classify them as proper, improper, or whole number.
$\frac{12}{7}$
Answer$\frac{7}{12}$, proper
View full question & answer→Question 263 Marks
Find the reciprocal fraction and classify them as proper, improper, or whole number.
$\frac{6}{5}$
Answer$\frac{5}{6}$, proper
View full question & answer→Question 273 Marks
Find the reciprocal fraction and classify them as proper, improper, or whole number.
$\frac{9}{7}$
Answer$\frac{7}{9}$, proper
View full question & answer→Question 283 Marks
Shade: $\frac{3}{5}$ of the squares in Fig.
View full question & answer→Question 293 Marks
Find the reciprocal fraction and classify them as proper, improper, or whole number.
$\frac{5}{8}$
Answer$\frac{8}{5}$, improper
View full question & answer→Question 303 Marks
Shade: $\frac{2}{3}$ of the triangles in fig.
View full question & answer→Question 313 Marks
Find the reciprocal fraction and classify them as proper, improper, or whole number.
$\frac{3}{7}$
Answer$\frac{7}{3}$, improper
View full question & answer→Question 323 Marks
Shade: $\frac{1}{2}$ of the circles in Fig.
View full question & answer→Question 333 Marks
By what number should $6 \frac{2}{9}$ be multiplied to get $4 \frac{4}{9}$ ?
View full question & answer→Question 343 Marks
A wire of length $12 \frac{1}{2} m$ is cut into 10 pieces of equal length. Find the length of each piece.
View full question & answer→Question 353 Marks
A bag contains 50 kg of wheat. A family consumed $\frac{2}{5}$ of it in a month. How much wheat is left for the next month?
View full question & answer→Question 363 Marks
There are 500 students in a school. If $\frac{2}{5}$ of the total students are boys, find the number of boys and girls in the school.
View full question & answer→Question 373 Marks
Ravish takes $5 \frac{3}{5}$ minutes to make a complete round of a circular park. How much time will he take to make 10 rounds?
View full question & answer→Question 383 Marks
Priya went to a grocery shop to buy 10 kg of wheat flour and 4 kg of sugar. If wheat flour costs $₹ 20 \frac{1}{2}$ per kg and sugar costs $₹ 30 \frac{1}{4} kg$. How much did she pay for this purchase?
View full question & answer→Question 393 Marks
Find the difference:
$4 \frac{3}{10}-1 \frac{2}{15}$
View full question & answer→Question 403 Marks
Find the difference of:
$3 \frac{3}{10}$ and $2 \frac{7}{15}$
View full question & answer→Question 413 Marks
Compare the following fractions by using the symbol > or < or =:$\frac{17}{15}$ and $\frac{119}{105}$
Answer$\frac{17}{15}=\frac{119}{105}$
View full question & answer→Question 423 Marks
Find the difference:
$9-5 \frac{2}{3}$
View full question & answer→Question 433 Marks
Find the difference of:
$\frac{18}{20}$ and $\frac{21}{25}$
View full question & answer→Question 443 Marks
Compare the following fractions by using the symbol > or < or =:$\frac{37}{41}$ and $\frac{19}{30}$
Answer$\frac{37}{41}>\frac{19}{30}$
View full question & answer→Question 453 Marks
Find the difference:
$8-\frac{5}{9}$
View full question & answer→Question 463 Marks
Find the difference of:
$\frac{23}{3}$ and 6
View full question & answer→Question 473 Marks
Compare the following fractions by using the symbol > or < or =:$\frac{11}{9}$ and $\frac{5}{9}$
Answer$\frac{11}{9}>\frac{5}{9}$
View full question & answer→Question 483 Marks
Find the difference:
$\frac{6}{7}-\frac{9}{11}$
View full question & answer→Question 493 Marks
Find the difference of:
$\frac{13}{24}$ and $\frac{7}{16}$
View full question & answer→Question 503 Marks
Compare the following fractions by using the symbol > or < or =:
$\frac{7}{9}$ and $\frac{8}{13}$
Answer$\frac{7}{9}>\frac{8}{13}$
View full question & answer→