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A student multiplied two mixed fractions in the following manner: 247×314=617. What error the student has done? - Mathematics

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Question

A student multiplied two mixed fractions in the following manner: `2 4/7 xx 3 1/4 = 6 1/7`. What error the student has done?

Sum

Solution

For multiplying two mixed fractions, first convert them into improper fraction.

So, `2/7 xx 3 1/4 = (2 xx 7 + 4)/7 xx (3 xx 4 + 1)/4`

= `18/7 xx 13/4`

= `234/28`

= `117/14`

= `8 5/14`

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Chapter 2: Fractions and Decimals - Exercise [Page 54]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 2 Fractions and Decimals
Exercise | Q 124. | Page 54
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