Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers1 Mark
MCQ
If $\frac{-3}{7}=\frac{\text{x}}{35}\text{ then }\text{x}=?$
A
$15$
B
$21$
✓
$-15$
D
$-21$
✓
Answer
Correct option: C.
$-15$
Firstly, write $\frac{-3}{7}$ as a rational number with denominator $35$.
Multiplying the numerator and denominator of $\frac{-3}{7}$ by $5$,
We have:
$\frac{-3}{7}=\frac{-3\times5}{7\times5}=\frac{-15}{35}$
$\therefore\frac{-3}{7}=\frac{\text{x}}{35}$
$\Rightarrow\frac{-15}{35}=\frac{\text{x}}{35}$
$\Rightarrow\text{x}=-15$
Hence, the correct answer is option $(c)$.
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