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2 Marks Questions

Question 512 Marks
Express $\frac{-36}{48}$ as a rational number with denominator 4.
Answer
Given $\frac{-36}{48}$ as a rational number with denominator 4.
$\because HCF$ of 36 and 48 is 12.
So, $\frac{-36÷12}{48÷12}=\frac{-3}{4}$
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Question 522 Marks
Find the value of x such that $\frac{-3}{8}$ and $\frac{x}{-24}$ are equivalent rational numbers.
Answer
Since,$\frac{-3}{8}$ and $\frac{x}{-24}$ are equivalent rational numbers.
So, $\frac{-3}{8}=\frac{x}{-24}$
$\Rightarrow(-3) \times(-24)=x \times 8$
$\Rightarrow \quad x=\frac{3 \times 24}{8}=3 \times 3=9$
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Question 532 Marks
Write two rational numbers equivalent to $\frac{2}{3}$.
Answer
Given rational number is $\frac{2}{3}$ and equivalent rational numbers are
$\frac{2 \times 2}{3 \times 2}=\frac{4}{6}$ and $\frac{2 \times 3}{3 \times 3}=\frac{6}{9}$,………
Hence, two equivalent rational numbers are $\frac{4}{6}$ and $\frac{4}{6}$.
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2 Marks Questions - Page 2 - MATHS STD 7 Questions - Vidyadip