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Evaluate 2/ 3 ÷ 4 /5 Give your answer as a fraction in its simplest form.

Sagot :

MathWiz0001

Step-by-step explanation:

Our problem:

[tex] \frac{2}{3} \div \frac{4}{5} = unknown[/tex]

How to solve?

Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.

Find the reciprocal:

[tex] \frac{2}{3} \times \frac{5}{4} = unknown[/tex]

Multiply:

[tex] \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} [/tex]

Simplify:

[tex] \frac{10 \div 2}{12 \div 2} = \frac{5}{6} [/tex]

5/6 is your answer.

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