Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.

Question

StartFraction 14 divided by StartFraction 2 Over 7 EndFraction. StartFraction 1 Over 14 EndFraction times StartFraction 2 Over 7 EndFraction = StartFraction 2 Over 98 EndFraction or StartFraction 1 Over 49 EndFraction

Which is the most accurate description of Urvi’s work?
Urvi solved the problem correctly.
Urvi multiplied the dividend by the divisor instead of finding the reciprocal.
Urvi multiplied the denominators instead of finding a common denominator.
Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Answer 1

The correct description of Urvi's work is:

Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Here's the reasoning:

When dividing by a fraction, you multiply by the reciprocal of the divisor (the fraction being divided by). In Urvi's work, she mistakenly multiplied by the reciprocal of the dividend (14), which resulted in an incorrect calculation. The correct approach would have been to take the reciprocal of \( \frac{2}{7} \) (the divisor) and then multiply it by \( 14 \).