Question 11 Mark
$\frac{16}{25}>\frac{13}{25}$
Answer
View full question & answer→We know that, if two fractions have same denominator, then fraction with greater numerator is greater.
Questions
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Question 21 Mark
$\frac{7}{12}+\frac{11}{12}=\frac{3}2{}$
Answer
View full question & answer→Since, $\frac{7}{12}+\frac{11}{12}=\frac{7+11}{12}$ $=\frac{18}{12}=\frac{18\div6}{12\div6}[\because HCF$ of $18$ and $12$ is $6]$ $=\frac32$
Question 31 Mark
If a whole or an object is divided into a number of equal parts, then each part represents a fraction.
Answer
View full question & answer→Fraction is a part of a whole.
Question 41 Mark
$13.730 = 13.73$
Answer
View full question & answer→Since, the value of zero at the last place in decimal part is negligible.
Question 51 Mark
The result obtained by subtracting a fraction from another fraction is necessarily a fraction.
Answer
View full question & answer→Let $\frac53$ be subtracted from $\frac{11}3\text{i.e}\frac{11}3-\frac531=\frac{11-5}3=\frac63=2$ Which is not a fraction.
Question 61 Mark
The fraction represented by the unshaded portion in the adjoining figure is $\frac59$
Answer
View full question & answer→Total equal parts in figure$ = 9$ and unshaded parts in figure $= 4$
Now, the fraction of unshaded part to the total parts $=\frac49 $
Now, the fraction of unshaded part to the total parts $=\frac49 $
Question 71 Mark
In the decimal form, fraction $\frac{25}{8}=3.125$
Answer
View full question & 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. $\frac{25\times125}{8\times125}=\frac{3125}{1000}=3.125$
Question 81 Mark
The fraction represented by the shaded portion in the adjoining figure is $\frac38$
Answer
View full question & answer→Total equal parts in figure $= 8$ and shaded parts in figure $= 3$
Now, the fraction of shaded part to the total parts $= \frac{3}{8}$
Now, the fraction of shaded part to the total parts $= \frac{3}{8}$
Question 91 Mark
$3.03 + 0.016 =3.019$
Answer
View full question & answer→Converting the given decimals to like decimals and then adding. $3.030 + 0.016 = 3046$
Question 101 Mark
The decimal $3.725$ is equal to $3.72$ correct to two decimal places.
Answer
View full question & answer→For correcting $3.725$ to two decimal places we look at the thousandths place.
Here, the digit at thousandths places is $5.$ So, the digit at hundredths place $2$ will be increased by $1$ and $5$ will be written as equal to zero.
Hence, $3.725 = 3.73 ($correct to two decimal places$)$
Here, the digit at thousandths places is $5.$ So, the digit at hundredths place $2$ will be increased by $1$ and $5$ will be written as equal to zero.
Hence, $3.725 = 3.73 ($correct to two decimal places$)$
Question 111 Mark
Fraction $\frac{18}{39}$ is in its lowest form.
Answer
View full question & answer→We have, $\frac{18}{39}=\frac{18\div3}{39\div3}[\because HCF$ of $18$ and $39$ is $3]$ $=\frac{6}{13}$
Note: A fraction is in its lowest terms, if its numerator and denominator have no common factor other than $1.$
Note: A fraction is in its lowest terms, if its numerator and denominator have no common factor other than $1.$
Question 121 Mark
The place value of a digit at the hundredths place is $\frac1{10}$ times the same digit at the ones place.
Answer
View full question & answer→Let $0.11$ be a decimal number having same digits at ones and tenths place.
Now, the place value of $1$ at tenths place $\frac1{10}\ ...\text{(i)}$
The place value of $1$ at hundredths place $=\frac{1}{100}\ ...\text{(ii)}$
From Eqs. $(i)$ and $(ii),$ we get $\frac{1}{100}=\frac{1}{10}\times\frac{1}{10}$
$\therefore$ The place value of $1$ at hundredths place is $\frac{1}{10}$ times of $1$ at tenths place.
Now, the place value of $1$ at tenths place $\frac1{10}\ ...\text{(i)}$
The place value of $1$ at hundredths place $=\frac{1}{100}\ ...\text{(ii)}$
From Eqs. $(i)$ and $(ii),$ we get $\frac{1}{100}=\frac{1}{10}\times\frac{1}{10}$
$\therefore$ The place value of $1$ at hundredths place is $\frac{1}{10}$ times of $1$ at tenths place.
Question 131 Mark
$19.25 < 19.053$
Answer
View full question & answer→Here, the whole number part of both the decimal numbers is same.
Now, tenths part of $19.25=\frac{2}{10}$
And tenths part of $19.053=\frac{0}{10}$
Clearly, $\frac{0}{10}<\frac2{10}$
$\therefore19.25>19.053$
Now, tenths part of $19.25=\frac{2}{10}$
And tenths part of $19.053=\frac{0}{10}$
Clearly, $\frac{0}{10}<\frac2{10}$
$\therefore19.25>19.053$
Question 141 Mark
$\frac{8}{18}-\frac{8}{15}=\frac{8}{3}$
Answer
View full question & answer→We have, $\frac{8}{18}-\frac{8}{15} LCM$ of $18$ and $15.$
$\begin{array}{c|c}2&18,15\\\hline3&9,15\\\hline3&3,5\\\hline5&1,5\\\hline&1,1\end{array}$
$\therefore LCM$ of $18$ and $15 = 2 \times 3 \times 3 \times 5 = 90.$
Now, converting the given fractions to equivalent fraction with denominator $90.$
$\frac{8\times5}{18\times5}=\frac{40}{90}$ and $\frac{8\times6}{15\times6}=\frac{48}{90}$
$\therefore\frac{40}{90}\frac{4}{7}$
$\begin{array}{c|c}2&18,15\\\hline3&9,15\\\hline3&3,5\\\hline5&1,5\\\hline&1,1\end{array}$
$\therefore LCM$ of $18$ and $15 = 2 \times 3 \times 3 \times 5 = 90.$
Now, converting the given fractions to equivalent fraction with denominator $90.$
$\frac{8\times5}{18\times5}=\frac{40}{90}$ and $\frac{8\times6}{15\times6}=\frac{48}{90}$
$\therefore\frac{40}{90}\frac{4}{7}$
Question 151 Mark
The sum of two fractions is always a fraction.
Answer
View full question & answer→Let two fraction be $\frac13$ and $\frac23$ Then, sum $\frac13+\frac23=\frac{1+2}3=\frac33=1$ Which is not a fraction.
Question 161 Mark
Fractions with same numerator are called like fractions.
Answer
View full question & answer→Fractions with same denominator are called like fractions.