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Add and Express the Sum as a Mixed Fraction: 24 7 and − 11 4 - Mathematics

Sum

Add and express the sum as a mixed fraction:

\[\frac{24}{7} \text{and} \frac{- 11}{4}\]
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Solution

\[\text{We have}\frac{24}{7} + \frac{- 11}{4} . \]
\[\text{L.C.M. of thedenominators 7 and 4 is 28.}\]
\[\text{Now, we will express}\frac{24}{7}\text{and}\frac{- 11}{4} \text{in the form in which they take the denominator 28.}\]
\[\frac{24 \times 4}{7 \times 4} = \frac{96}{28}\]
\[\frac{- 11 \times 7}{4 \times 7} = \frac{- 77}{28}\]
\[ \therefore \frac{24}{7} + \frac{- 11}{4} = \frac{96}{28} + \frac{- 77}{28}\]
\[ = \frac{96 - 77}{28}\]
\[ = \frac{19}{28}\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 1 Rational Numbers
Exercise 1.1 | Q 4.2 | Page 6
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