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Two ropes are cut from a 1 metre piece. Arjun keeps $\frac{7}{10}$ m and Dev keeps $\frac{5}{7}$ m (from a different rope).
Whose piece is longer?

Class 7Comparing Rational NumbersRational Numbers

AArjun $(\frac{7}{10})$
BDev $(\frac{5}{7})$
CSame
DCannot decide

Step-by-Step Solution

Cross-multiply

\frac{7}{10}

and

\frac{5}{7} : 7 \times 7 = 49, 5 \times 10 = 50

. Since 49 < 50,

\frac{7}{10} < \frac{5}{7}

, so Dev's piece is longer.

Answer: B) Dev

(\frac{5}{7})

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