The sum 7 8 +1 9 is between - Vidyadip

MCQ

The sum $\frac{7}{8}+\frac{1}{9}$ is between

A
$\frac{1}{2} \text{and} \frac{3}{4}$
✓
$\frac{3}{4} \text{and} 1$
C
$1 \text{and} 1\frac{1}{4}$
D
$1\frac{1}{4} \text{and} 1\frac{1}{2}$

✓

Answer

Correct option: B.

$\frac{3}{4} \text{and} 1$

The $LCM$ of the denominators of the given sum $\frac{7}{8}+\frac{1}{9}$ is $72,$ therefore, the sum can be rewritten as follows:
$\frac{7 \times 9}{8 \times 9}+\frac{1\times8}{9\times8}=\frac{63}{72}+\frac{8}{72}=\frac{71}{72}$
Since, $\frac{71}{72}<1$
Hence, the sum $\frac{7}{8}+\frac{1}{9}$ lies between $\frac{3}{4}$ and $1.$

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