MCQ
By what number should $1\frac{3}{4}$ be divided to get $2\frac{1}{2}?$
- A$\frac{3}{7}$
- B$1\frac{2}{5}$
- ✓$\frac{7}{10}$
- D$1\frac{3}{7}$
✓
Answer
Correct option: C.
$\frac{7}{10}$
Let the required number be $x.$
Now,
$1\frac{3}{4}\div\text{x}=2\frac{1}{2}$
$\Rightarrow\frac{7}{4}\times\frac{1}{\text{x}}=\frac{5}{2}$
$\Rightarrow\text{x}=\frac{7}{4}\times\frac{2}{5}$
$\Rightarrow\text{x}=\frac{7\times1}{2\times5}$
$\Rightarrow\text{x}=\frac{7}{10}$
Thus, the required number is $\frac{7}{10}$
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