Question 513 Marks
Express as a mixed fraction: $\frac{11}5$
Answer
View full question & answer→$\frac{11}5$
$\therefore$$\frac{11}5 = 2 \frac{1}5$
$\therefore$$\frac{11}5 = 2 \frac{1}5$
Questions · Page 2 of 2
3 Marks Question
Question 523 Marks
Express the following as mixed fracton: $\frac{20}3$
Answer
View full question & answer→$\frac{20}3 = 20 ÷ 3$
$\therefore$ $\frac{20}3= 6\frac{2}3$
$\therefore$ $\frac{20}3= 6\frac{2}3$
Question 533 Marks
Kanchan dyes dresses, she had to dye $30$ dresses. She has so far finished $20$ dresses. What fraction of dresses has she finished?
Answer
View full question & answer→Kanchan had dyes $30$ dresses. She has finished $20$ dresses.
So fraction of dresses she has finished = $\frac{20}{30}=\;\frac{20\div10}{30\;\div\;10}=\;\frac23$
$\therefore $ She has finished $\;\frac23$ fraction of the dresses.
So fraction of dresses she has finished = $\frac{20}{30}=\;\frac{20\div10}{30\;\div\;10}=\;\frac23$
$\therefore $ She has finished $\;\frac23$ fraction of the dresses.
Question 543 Marks
What fraction of an hour is $40$ minutes?
Answer
View full question & answer→$1$ hour $= 60$ minutes
$\therefore$ Required fraction = $\frac{60}{40}=\;\frac{60\div10}{40\;\div\;10}=\;\frac64=\;\frac{6\div2}{4\div2}=\frac32$
$\therefore$ Required fraction = $\frac{60}{40}=\;\frac{60\div10}{40\;\div\;10}=\;\frac64=\;\frac{6\div2}{4\div2}=\frac32$
Question 553 Marks
What fraction of these circles have $'X's$ in them?
Answer
View full question & answer→Total number of circles $= 8$
Numbers of circles which $'X's$ in them $= 4$
$\therefore $ Required fraction = $\frac48=\;\frac{4\div4}{8\;\div\;4}=\;\frac12$
Numbers of circles which $'X's$ in them $= 4$
$\therefore $ Required fraction = $\frac48=\;\frac{4\div4}{8\;\div\;4}=\;\frac12$
Question 563 Marks
Compare $\frac{5}{6}$ and $\frac{13}{15}$.
Answer
View full question & answer→The fractions are unlike.
We should first get their equivalent fractions with a denominator which is a common multiple of $6$ and $15.$
Now, $\frac{5 \times 5}{6 \times 5}=\frac{25}{30}, \frac{13 \times 2}{15 \times 2}=\frac{26}{30}$
Since ${26}>{25}$
Therefore, $\frac{13}{15}>\frac{5}{6}$
We should first get their equivalent fractions with a denominator which is a common multiple of $6$ and $15.$
Now, $\frac{5 \times 5}{6 \times 5}=\frac{25}{30}, \frac{13 \times 2}{15 \times 2}=\frac{26}{30}$
Since ${26}>{25}$
Therefore, $\frac{13}{15}>\frac{5}{6}$
Question 573 Marks
Find the equivalent fraction of $\frac{2}{5}$ with numerator $6.$
Answer
View full question & answer→We know that, $2$ $\times$ $3 = 6.$
Hence, we need to multiply both the numerator and the denominator by $3$ to get the equivalent fraction.
Therefore, $\frac{2}{5}=\frac{2 \times 3}{5 \times 3}=\frac{6}{15} $
$\therefore \frac{6}{15}$ is the required equivalent fraction.
Hence, we need to multiply both the numerator and the denominator by $3$ to get the equivalent fraction.
Therefore, $\frac{2}{5}=\frac{2 \times 3}{5 \times 3}=\frac{6}{15} $
$\therefore \frac{6}{15}$ is the required equivalent fraction.
Question 583 Marks
Express $\frac{7}{3}$ as the mixed fraction:
Answer
i.e. $2$ whole and $\frac{1}{3}$and more, or $2 \frac{1}{3}$
Therefore, $\frac{7}{3}$ = $2 \frac{1}{3}$
View full question & answer→ i.e. $2$ whole and $\frac{1}{3}$and more, or $2 \frac{1}{3}$
Therefore, $\frac{7}{3}$ = $2 \frac{1}{3}$
Question 593 Marks
Simplify: $8 \frac{1}{4}-2 \frac{5}{6}$
Answer
View full question & answer→Here,
$8 \frac{1}{4}=\frac{(8 \times 4)+1}{4}=\frac{33}{4}$ and $2 \frac{5}{6}=\frac{2 \times 6+5}{6}=\frac{17}{6}$
Now, $\frac{33}{4}-\frac{17}{6}=\frac{33 \times 3}{12}-\frac{17 \times 2}{12}$ (Since $LCM$ of $4$ and $6 = 12$)
$=\frac{99-34}{12}=\frac{65}{12}=5 \frac{5}{12}$
$8 \frac{1}{4}=\frac{(8 \times 4)+1}{4}=\frac{33}{4}$ and $2 \frac{5}{6}=\frac{2 \times 6+5}{6}=\frac{17}{6}$
Now, $\frac{33}{4}-\frac{17}{6}=\frac{33 \times 3}{12}-\frac{17 \times 2}{12}$ (Since $LCM$ of $4$ and $6 = 12$)
$=\frac{99-34}{12}=\frac{65}{12}=5 \frac{5}{12}$
Question 603 Marks
Express the mixed fraction: $\frac{27}{5}$
Answer
i.e. $5$ whole and $\frac{2}{5}$and more, or $5 \frac{2}{5}$
Here, $\frac{27}{5}$ = $5 \frac{2}{5}$
View full question & answer→ i.e. $5$ whole and $\frac{2}{5}$and more, or $5 \frac{2}{5}$
Here, $\frac{27}{5}$ = $5 \frac{2}{5}$
Question 613 Marks
Express the mixed fraction: $\frac{11}{3}$
Answer
View full question & answer→$\frac{11}{3}$ can be expressed as a mixed fraction as,
i.e. $3$ whole and $\frac{2}{3}$ more, or $3 \frac{2}{3}$
Therefore, $\frac{11}{3}$ = $3 \frac{2}{3}$
i.e. $3$ whole and $\frac{2}{3}$ more, or $3 \frac{2}{3}$
Therefore, $\frac{11}{3}$ = $3 \frac{2}{3}$
Question 623 Marks
Express $\frac{17}{4}$ as mixed fraction:
Answer
i.e. 4 whole and $\frac{1}{4}$and more, or $4 \frac{1}{4}$
Therefore, $\frac{17}{4}$ = $4 \frac{1}{4}$
View full question & answer→i.e. 4 whole and $\frac{1}{4}$and more, or $4 \frac{1}{4}$
Therefore, $\frac{17}{4}$ = $4 \frac{1}{4}$