How many pieces of equal size can be cut from a rope of 30 metres, each measuring $3 \frac{3}{4}$ metres?

8 m

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10 m

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6 m

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12 m

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Solution

The correct option is A 8 m
Total length of the rope = 30 m

Length of each piece = $3 \frac{3}{4}$ m
= $\frac{(12 + 3)}{4}$ m = $\frac{15}{4}$ m

Number of pieces = $30 \div \frac{15}{4}$

= $30 \times \frac{4}{15}$

= $2 \times 4$ = $8$ m

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