Solve 16/81div2/9=8/8

$$\frac { 16 } { 81 } \div \frac { 2 } { 9 } = \frac { 8 } { 8 }$$

Verify

Solution Steps

Divide 8 by 8 to get 1.

$$\frac{\frac{16}{81}}{\frac{2}{9}}=1$$

Divide \frac{16}{81} by \frac{2}{9} by multiplying \frac{16}{81} by the reciprocal of \frac{2}{9}.

$$\frac{16}{81}\times \frac{9}{2}=1$$

Multiply \frac{16}{81} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 9}{81\times 2}=1$$

Do the multiplications in the fraction \frac{16\times 9}{81\times 2}.

$$\frac{144}{162}=1$$

Reduce the fraction \frac{144}{162} to lowest terms by extracting and canceling out 18.

$$\frac{8}{9}=1$$

Convert 1 to fraction \frac{9}{9}.

$$\frac{8}{9}=\frac{9}{9}$$

Compare \frac{8}{9} and \frac{9}{9}.

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