Question
What number should be subtracted from $\frac{3}{7}$ so as to get $\frac{5}{4}?$
✓
Answer
Let the required number be x
$\frac{3}{7}-\text{x}=\frac{5}{4}$
$-\text{x}=\frac{5}{4}-\frac{3}{7}$
$-\text{x}=\frac{5\times7}{4\times7}-\frac{3\times4}{7\times4}$
$-\text{x}=\frac{35}{18}-\frac{12}{18}$
$-\text{x}=\frac{35-12}{28}$
$-\text{x}=\frac{23}{28}$
$\text{x}=-\frac{23}{28}$
The required number is $\frac{23}{28}$
$\frac{3}{7}-\text{x}=\frac{5}{4}$
$-\text{x}=\frac{5}{4}-\frac{3}{7}$
$-\text{x}=\frac{5\times7}{4\times7}-\frac{3\times4}{7\times4}$
$-\text{x}=\frac{35}{18}-\frac{12}{18}$
$-\text{x}=\frac{35-12}{28}$
$-\text{x}=\frac{23}{28}$
$\text{x}=-\frac{23}{28}$
The required number is $\frac{23}{28}$
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