Question 19 of 20intermediate🔧 ApplyNumerical3 marks

Mariam's grandmother baked a cake. Mariam and her cousins finished 45\frac{4}{5} of the cake. The remaining cake was shared equally by Mariam's three friends. How much of the cake did each friend get?

Correct Answer

Step 1: Remaining cake = 1−45=151 - \frac{4}{5} = \frac{1}{5}

Step 2: Each friend's share = 15÷3\frac{1}{5} \div 3 = 15×13\frac{1}{5} \times \frac{1}{3} = 115\frac{1}{15}

Answer: Each friend got 115\frac{1}{15} of the cake.

Exercise: Figure it Out (Section 4) | Q: 8 | (Page Page 25)
For More Understanding

Explanation

The chapter explains division of fractions. Remaining cake = 1−45=151 - \frac{4}{5} = \frac{1}{5}. Each friend gets = 15÷3=15×13=115\frac{1}{5} \div 3 = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15} of the cake.

Solution Steps

  1. Step 1: Remaining cake = 1−45=151 - \frac{4}{5} = \frac{1}{5}

  2. Step 2: Each friend's share = 15÷3=15×13=115\frac{1}{5} \div 3 = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15}

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