4 frac{4}{5} div 6 frac{2}{5} = ? | vedclass

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Question

(A) First,convert the mixed fractions into improper fractions:$4 \frac{4}{5} = \frac{4 	imes 5 + 4}{5} = \frac{24}{5}$$6 \frac{2}{5} = \frac{6 	imes

Vedclass · Accepted Answer

$3/4$

Vedclass · Answer

(A) First,convert the mixed fractions into improper fractions:$4 \frac{4}{5} = \frac{4 	imes 5 + 4}{5} = \frac{24}{5}$$6 \frac{2}{5} = \frac{6 	imes 5 + 2}{5} = \frac{32}{5}$Now,perform the division by multiplying by the reciprocal:$\frac{24}{5} \div \frac{32}{5} = \frac{24}{5} 	imes \frac{5}{32}$$= \frac{24}{32}$Divide both numerator and denominator by their greatest common divisor,which is $8$:$= \frac{24 \div 8}{32 \div 8} = \frac{3}{4}$

$4 \frac{4}{5} \div 6 \frac{2}{5} = ?$

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