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

1 Answer

5 votes

Answer:

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

Explanation:

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

Urvi's work

= 14 ÷ 2/7

= 1/14 × 2/7

= 2/98

= 1/ 49

Correct workings

14 ÷ 2/7

= 14 × 7/2

= 98/2

= 49

The correct answer is

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

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