# Add and Express the Sum as a Mixed Fraction: 101 6 and 7 8 - Mathematics

Sum

Add and express the sum as a mixed fraction:

$\frac{101}{6} \text{and} \frac{7}{8}$

#### Solution

$\text{We have}\frac{101}{6} + \frac{7}{8} .$
$\text{L.C.M. of thedenominators 6 and 8 is 24.}$
$\text{Now, we will express}\frac{101}{6}\text{and}\frac{7}{8} \text{in the form in which they take the denominator 24.}$
$\frac{101 \times 4}{6 \times 4} = \frac{404}{24}$
$\frac{7 \times 3}{8 \times 3} = \frac{21}{24}$
$\therefore \frac{101}{6} + \frac{7}{8} = \frac{404}{24} + \frac{21}{24}$
$= \frac{404 + 21}{24}$
$= \frac{425}{24}$
$= 17\frac{17}{24}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 1 Rational Numbers
Exercise 1.1 | Q 4.4 | Page 6