Question

Ramu has $4\frac{5}{6}\text{kg}$ of apples, while Karan has $5\frac{2}{3}\text{kg}$ of apples. Who has more apples with him and how much more?

• A. Ramu, $\frac{1}{3}\text{kg}$
• B. Karan, $1\frac{1}{3}\text{kg}$
• C. Ramu, $1\frac{1}{6}\text{kg}$
• D. Karan, $\frac{5}{6}\text{kg}$

Answer 1

The correct option is D Karan, $\frac{5}{6}\text{kg}$

Given: Ramu has $4\frac{5}{6}\text{kg}$ of apples and Karan has $5\frac{2}{3}\text{kg}$ of apples.​
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Since both the fractions are mixed fractions, let’s first convert them into improper fractions.
Ramu: $4\frac{5}{6}=\frac{(4\times 6+5)}{6}=\frac{29}{6}$
Karan: $5\frac{2}{3}=\frac{(5\times 3+2)}{3}=\frac{17}{3}$

Since both the fractions have different denominators (unlike fractions), let’s convert them into like fractions (same denominators).​
Ramu: $\frac{29}{6}$
Karan: $\frac{17}{3}=\frac{17\times 2}{3\times 2}=\frac{34}{6}$

As we can clearly see, Karan has more apples (bigger numerator).
Let’s subtract the fractions to see by how much.​
$\frac{34}{6}-\frac{29}{6}=\frac{5}{6}\text{kg}$