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4 a piece of string \\(\\frac{3}{4}\\) m long was cut into 5 equal piec…

Question

4 a piece of string \\(\frac{3}{4}\\) m long was cut into 5 equal pieces. what was the length of each piece of string? 5 a flask contains \\(\frac{9}{10}\\) ℓ of apple juice. the apple juice is poured equally into 3 empty glasses. what is the volume of apple juice in each glass?

Explanation:

Step1: Divide total length by 5

$\frac{3}{4} \div 5 = \frac{3}{4} \times \frac{1}{5}$

Step2: Calculate the product

$\frac{3 \times 1}{4 \times 5} = \frac{3}{20}$

Step3: Divide total volume by 3

$\frac{9}{10} \div 3 = \frac{9}{10} \times \frac{1}{3}$

Step4: Simplify and calculate

$\frac{9 \times 1}{10 \times 3} = \frac{3}{10}$

Answer:

  1. $\frac{3}{20}$ m
  2. $\frac{3}{10}$ ℓ