MCQ
The reciprocal of the fraction $2\frac{3}{5}$ is:
- A$2\frac{5}{3}$
- B$\frac{13}{5}$
- ✓$\frac{5}{13}$
- D$2\frac{2}{5}$
✓
Answer
Correct option: C.
$\frac{5}{13}$
The reciprocal of a non$-$zero fraction $\frac{\text{a}}{\text{b}}$ is the fraction $\frac{\text{b}}{\text{a}}$
$2\frac{3}{5}=\frac{2\times5+3}{5}=\frac{13}{5}$
Now, Reciprocal of the fraction $\frac{13}{5}=\frac{5}{13}$
$\therefore$ Reciprocal of the fraction $2\frac{3}{5}=\frac{5}{13}$
$2\frac{3}{5}=\frac{2\times5+3}{5}=\frac{13}{5}$
Now, Reciprocal of the fraction $\frac{13}{5}=\frac{5}{13}$
$\therefore$ Reciprocal of the fraction $2\frac{3}{5}=\frac{5}{13}$
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