We are given that $\frac{5}{13}$ of Joshua's height is 60 cm. We want to find what $\frac{1}{13}$ of his height is in centimeters.

ArithmeticFractionsProportionsWord Problem
2025/4/3

1. Problem Description

We are given that 513\frac{5}{13} of Joshua's height is 60 cm. We want to find what 113\frac{1}{13} of his height is in centimeters.

2. Solution Steps

Let hh be Joshua's height in cm.
We are given that 513h=60\frac{5}{13}h = 60.
To find 113h\frac{1}{13}h, we can divide both sides of the equation by

5. $\frac{1}{5} \times \frac{5}{13}h = \frac{1}{5} \times 60$

113h=605\frac{1}{13}h = \frac{60}{5}
113h=12\frac{1}{13}h = 12
So 113\frac{1}{13} of Joshua's height is 12 cm.

3. Final Answer

12 cm

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