Question

simplify the following 4/7÷(2/1/4+3/2/5) class 7​

Answer 1

Answer:

$answer = \frac{80}{791}$

Step-by-step explanation:

I think your question is this:

$\frac{4}{7} \div( 2 \frac{1}{4} + 3 \frac{2}{5} )$

If my guess is right, then we get the answer like this:

$\frac{4}{7} \div (2 \frac{1}{4} + 3 \frac{2}{5} ) = \frac{4}{7} \div ( \frac{9}{4} + \frac{17}{5} )$

We have to make the denominators of the fractions in brackets. For that,

$\frac{9}{4} = \frac{9 \times 5}{4 \times 5} = \frac{45}{20} \\ \frac{17}{5} = \frac{17 \times 4}{5 \times 4} = \frac{68}{20}$

Now they have equal denominator. So we can calculate now.

$\frac{4}{7} \div ( \frac{9}{4} + \frac{17}{5} ) = \frac{4}{7} \div ( \frac{45}{20} + \frac{68}{20} ) = \frac{4}{7} \div \frac{45 + 68}{20} = \frac{4}{7} \div \frac{113}{20} = \frac{4}{7} \times \frac{20}{113} = \frac{80}{113}$

This cannot be further simplified

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