Question

Subtract $\frac{7}{4}$ from $\frac{12}{7}$.

• A. = $\frac{-1}{7}$
• B. = $\frac{1}{28}$
• C. = $\frac{-1}{28}$
• D. = $\frac{-1}{14}$

Answer 1

The correct option is C

= $\frac{-1}{28}$

We have to find $\frac{12}{7}$ - $\frac{7}{4}$

According to Additive inverse property : $\frac{a}{b}$ - $\frac{c}{d}$ = $\frac{a}{b}$ + $\frac{-c}{d}$

$\frac{12}{7}-\frac{7}{4}=\frac{12}{7}+\left(\frac{-7}{4}\right)$

LCM of 4 and 7 is 28

$\therefore$ $\frac{12}{7}$ + $\frac{-7}{4}=\frac{12\times 4}{7\times 4}$ + $\frac{-7\times 7}{4\times 7}$

= $\frac{48}{28}$ + $\frac{-49}{28}$

= $\frac{48-49}{28}$

= $\frac{-1}{28}$