Question

EXERCI5E 13.4 1. Gill has 10 ribbons, each of length \( 23 \frac{3}{4} \) cm. If Gill lays the ribbons down end-to-end, how many centimetres long will the line of ribbons be?

Ask by Hammond Craig. in South Africa
Feb 25,2025

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The total length of the ribbons laid end-to-end is 237 1/2 centimetres.

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The Deep Dive

To find the total length of the ribbons laid out end-to-end, we start by converting the mixed number into an improper fraction. The length of each ribbon is \( 23 \frac{3}{4} \) cm, which can be converted as follows: \[ 23 \frac{3}{4} = 23 + \frac{3}{4} = \frac{92}{4} + \frac{3}{4} = \frac{95}{4} \text{ cm} \] Now, we multiply this by the number of ribbons, which is 10: \[ 10 \times \frac{95}{4} = \frac{950}{4} \] Next, we simplify \( \frac{950}{4} \): \[ \frac{950}{4} = 237.5 \text{ cm} \] Thus, if Gill lays the ribbons down end-to-end, the total length will be **237.5 cm**.

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