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50 questions · timed · auto-graded

Question 11 Mark
$\frac{7}{10}- = \frac{3}{10}$ $\left(\frac{10}{4}, \frac{3}{10} \cdot \frac{4}{10}\right)$
Answer
$\frac{4}{10}$
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Question 41 Mark
……….. is an equivalent fraction of $\frac{3}{5}$. $\left(\frac{5}{3}, \frac{6}{5}, \frac{9}{15}\right)$
Answer
$\frac{9}{15}$
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Question 51 Mark
On a number line, $\frac{9}{5}$ is between$.......... (2$ and $5, 4$ and $5, 1$ and $2)$
Answer
$1$ and $2$
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Question 61 Mark
The value of $\frac{15}{15}$ is………. $\left(15, \frac{1}{15}, 1\right)$
Answer
$\left(15, \frac{1}{15}, 1\right)$
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Question 91 Mark
$\frac{8}{13}-\frac{2}{13}=$………… $\left(\frac{6}{13}, \frac{16}{13}, \frac{10}{13}\right)$
Answer
$\left(\frac{6}{13}, \frac{16}{13}, \frac{10}{13}\right)$
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Question 101 Mark
$\frac{2}{9}+\frac{5}{9}=$………….. $\left(\frac{10}{9}, \frac{7}{9}, \frac{3}{9}\right)$
Answer
$\frac{7}{9}$
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Question 111 Mark
$\frac{2}{17}, \frac{6}{17}$ and $\frac{12}{17}$ are………..fractions. (mixed, improper, like)
Answer
like
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Question 121 Mark
Three whole and five elevenths is the fraction………. $\left(5 \frac{3}{11}, 3 \frac{11}{5}, 3 \frac{5}{11}\right)$
Answer
$3 \frac{5}{11}$
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Question 151 Mark
………..is a mixed fraction. $\left(1 \frac{1}{4}, \frac{9}{4}, \frac{4}{5}\right)$
Answer
$1 \frac{1}{4}$
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Question 171 Mark
………..is an improper fraction. $\left(\frac{4}{5}, \frac{5}{4}, \frac{4}{4}\right)$
Answer
$\frac{5}{4}$
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Question 181 Mark
………..is a proper fraction. $\left(\frac{3}{2}, \frac{2}{3}, \frac{3}{3}\right)$
Answer
$\frac{2}{3}$
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Question 211 Mark
$8\frac27$ is equal to the improper fraction ______.
Answer
We know that, Mixed fraction $=$ Improper fraction.
$=\frac{\text{Whole number}\times\text{Denominator}+\text{Numerator}}{\text{Denominator}}$ $\therefore8\frac27=\frac{8\times7+2}{7}=\frac{58}{7}$
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Question 221 Mark
Fill in the missing fractions. $\frac{7}{10}-\Box=\frac{3}{10}$
Answer
$\frac{7}{10}-\Box=\frac{3}{10}$ $\Box=\frac{7}{10}-\frac{3}{10}=\frac{7-3}{10}=\frac{4}{10}=\frac{2}{5}$
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Question 231 Mark
A number representing a part of a _________ is called a fraction.
Answer
A number representing a part of a Whole is called a fraction.Solution:
By definition, a fraction is a number representing a part of a whole.
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Question 241 Mark
$\frac58$ and $\frac38$ are ______ proper fractions.
Answer
$\frac58$ and $\frac38$ are Like proper fractions. Solution:Since, fractions having the same denominators are called like fractions and fractions whose numerator is less than the denominator is called a proper fraction.
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Question 251 Mark
Fill in the boxes: $\Box-\frac{5}{4}=\frac{1}{4}$
Answer
$\Box-\frac{5}{4}=\frac{1}{4}$ $\Box=\frac{1}{4}+\frac{5}{8}=\frac{1\times2+5}{8}=\frac{2+5}{8}=\frac{7}{8}$
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Question 261 Mark
Fill in the place holders with the correct symbol $ > $ or $ < :$
$\frac{4}{11}\ \Box\ \frac{4}{9}$
Answer
Between two fractions with the same numerator, the one with the smaller denominator is the greater of the two.
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Question 271 Mark
Fill in the missing fractions:
$\Box-\frac{3}{6}=\frac{3}{6}$
Answer
Given, $\Box-\frac{3}{6}=\frac{3}{6}$
$\Rightarrow\Box=\frac{3}{6}+\frac{3}{6}$
$\Rightarrow\Box=\frac{3+3}{6}$
$\Rightarrow\Box=\frac{6}{6}​$
$\Box=1$
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Question 281 Mark
The fraction $\frac{17}{34}$ in simplest form is ______.
Answer
In order to reduce a fraction to its lowest terms, we divide its numerator and denominator by their $HCF.$
$\frac{17}{34}=\frac{17\div17}{34\div17}=\frac12[\because HCF$ of $17$ and $34$ is $17]$
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Question 291 Mark
Fractions with the same denominator are called _________ fractions.
Answer
Fractions with the same denominator are called Like fractions. Solution: It is a standard definition.
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Question 301 Mark
Fraction $\frac{7}{25}$ is equal to the decimal number ______.
Answer
In order to convert fraction into decimal, we first convert it into an equivalent fraction with denominator $10$ or $100$ or $1000$ and then write its numerator and mark decimal point after one place or two place or three places from right towards left if the denominator is $10$ or $100$ or $1000,$ respectively. If the numerator is short of digits, insert zeroes at the left of the numerator. $\frac{7}{25}=\frac{7\times4}{25\times4}=0.28$
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Question 311 Mark
$\frac{67}{14}-\frac{24}{14}=$ ____________.
Answer
We have, $\frac{67}{14}-\frac{24}{14}=\frac{67-24}{14}=\frac{43}{14}$
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Question 321 Mark
Fill in the blank: $9\frac{2}{3}+\ .....\ =19$
Answer
$.....\ =19-9\frac{2}{3}$
$.....\ =\frac{19}{1}-\frac{29}{3}$
$.....\ =\frac{57-29}{3}$
$.....\ =\frac{28}{3}$
$.....\ =9\frac{1}{3}$
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Question 331 Mark
Fill in the place holders with the correct symbol $ > $ or $ <: \frac{8}{11}\ \Box\ \frac{8}{13}$
Answer
Between two fractions with the same numerator, the one with the smaller denominator is the greater of the two.
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Question 341 Mark
$\frac{17}{2}+3\frac12=$ _______________.
Answer
We have, $\frac{17}{2}+3\frac13=\frac{17}{2}+\frac{3\times2+1}{2}$ [$\because$ Mixed fraction = Improper fraction]
$=\frac{(\text{Whole number}\times\text{Denominator}+\text{Numerator})}{\text{Denominator}}$
$=\frac{17}{2}+\frac{7}{2}=\frac{17+7}{2}=\frac{24}{2}=\frac{24\div2}{2\div2}[\because$ $HCF$ of $24$ and $2$ is $2]$
$=12$
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Question 351 Mark
$\frac{87}{7}$ is equal to the mixed fraction $......$
Answer
In order to express an improper fraction as a mixed fraction,
we first divide the numerator by denominator and obtain the quotient and remainder and then we write the mixed fraction as:
$\text{Quotient}\ \frac{\text{Remainder}}{\text{Denominator}}$
$\frac{87}{7}=12\frac{3}{7}$
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Question 361 Mark
Fill in the place holders with the correct symbol $ > $ or $ <:$
$\frac{11}{14}\ \Box\ \frac{11}{15}$
Answer
Between two fractions with the same numerator, the one with the smaller denominator is the greater of the two.
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Question 371 Mark
Fill in the blank:
$7-5\frac{2}{3}=\ .....$
Answer
$7-5\frac{2}{3}$
$=\frac{7}{1}-\frac{17}{3}$
$=\frac{21-17}{3}$
$=\frac{4}{3}$
$=1\frac{1}{3}$
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Question 381 Mark
$\frac{18}5{}$ is an ______ fraction.
Answer
Since, a fraction whose numerator is more than or equal to the denominator is called an improper fraction.
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Question 391 Mark
Fill in the blank: $6\frac{1}{6}-\ ?=\frac{29}{30}$
Answer
$?=6\frac{1}{6}-\frac{29}{30}$
$?=\frac{37}{6}-\frac{29}{30}$
$?=\frac{185-29}{30}$
$?=\frac{156}{30}$
$?=\frac{26}{5}$
$?=5\frac{1}{5}$
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Question 401 Mark
Fill in the blank: $\frac{72}{90}$ reduced to simples form is _______.
Answer
The factors of $72$ are $1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72$
The factors of $90$ are $1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90$
The common factors of $72$ and $90$ are $1, 2, 3, 6, 9, 18$
$H.C.F.$ of $72$ and $90$ is $18$
$\frac{72\div18}{90\div18}=\frac{4}{5}$
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Question 411 Mark
Fill in the boxes:
$\frac{1}{2}-\Box=\frac{1}{6}$
Answer
$\frac{1}{2}-\Box=\frac{1}{6}$
$\Box=\frac{1}{2}-\frac{1}{6}=\frac{(1\times3)-1}{6}=\frac{3-1}{6}=\frac{2}{6}=\frac{1}{3}$
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Question 421 Mark
The fraction $\frac{6}{15}$ in simplest form is ______.
Answer
In order to reduce a fraction to its lowest terms, we divide its numerator and denominator by their $HCF.$
$\frac{6}{15}=\frac{6\div3}{15\div3}=\frac{2}{5}[\because HCF$ of $6$ and $15$ is $3]$
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Question 431 Mark
Decimal $16.25$ is equal to the fraction ______.
Answer
We know that, a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with $1$ as there are numbers of places in the decimal part.
Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their $HCF.$
$16.25=\frac{1625}{100}=\frac{1625\div25}{100\div25}=\frac{65}{4}[\because HCF$ of $1625$ and $100$ is $25]$
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Question 441 Mark
$\frac{17}{9}+\frac{41}{9}=$ ______________.
Answer
We have, $\frac{17}{9}+\frac{41}{9}=\frac{17+41}{9}=\frac{58}{9}$
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Question 451 Mark
Fill up the blank with $ '>', '<' $ or $'=': \frac{3016}{3016}\ \Box\ 1$
Answer
An improper fraction is greater than $1.$ Hence, it is always greater than a proper fraction, which is less than $1.$
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Question 461 Mark
$13\frac{5}{18}$ is a _________ fraction.
Answer
Since, a combination of a whole number and a proper fraction is called a mixed fraction.
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Question 471 Mark
Fill in the place holders with the correct symbol > or <: $\frac{7}{8}\ \Box\ \frac{7}{10}$
Answer
 Between two fractions with the same numerator, the one with the smaller denominator is the greater of the two.
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Question 481 Mark
Fill in the place holders with the correct symbol > or <: $\frac{5}{12}\ \Box\ \frac{5}{8}$
Answer
 Between two fractions with the same numerator, the one with the smaller denominator is the greater of the two.
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Question 491 Mark
Fill in the blank: $\frac{42}{54}=\frac{7}{\Box}$
Answer
 $\Rightarrow\frac{42\div6}{54\div6}$
$\Rightarrow\frac{7}{9}$
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Question 501 Mark
Fill up the blank with '>', '<' or '=': $\frac{11}{5}\ \Box\ 1$
Answer
 An improper fraction is greater than $1.$ Hence, it is always greater than a proper fraction, which is less than $1.$
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