Question

A worker is to connect three equal sections of pipe. Each section is 6 2/3 metres in length, as shown below.

Answer 1

The length of the connected section of the pipe is 20 meters

To solve this question, we are going to do addition of fractions. But we must first convert the fractions from mixed fraction to an improper fraction.

Conversion of Fraction

The given length are

• 6 2/3
• 6 (2/3)
• 6 (2/3)

Convert these mixed fractions into improper fractions

$6 \frac{2}{3}=\frac{20}{3}$

Now let's add up 20/3 in 3 places since they are of equal length.

$\frac{20}{3} + \frac{20}{3} + \frac{20}{3}=\frac{20+20+20}{3}=\frac{60}{3}=20$

From the calculation above, the length of the connected section of the pipe is 20 meters.

Learn more on fractions here;

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