Solve 82/2/frac{3{4}}=5/10/frac{15{20}}

$$\frac { 8 \frac { 2 } { 2 } } { \frac { 3 } { 4 } } = \frac { \frac { 5 } { 10 } } { \frac { 15 } { 20 } }$$

Verify

Solution Steps

Divide \frac{8\times 2+2}{2} by \frac{3}{4} by multiplying \frac{8\times 2+2}{2} by the reciprocal of \frac{3}{4}.

$$\frac{\left(8\times 2+2\right)\times 4}{2\times 3}=\frac{\frac{5}{10}}{\frac{15}{20}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(2+2\times 8\right)}{3}=\frac{\frac{5}{10}}{\frac{15}{20}}$$

Multiply 2 and 8 to get 16.

$$\frac{2\left(2+16\right)}{3}=\frac{\frac{5}{10}}{\frac{15}{20}}$$

Add 2 and 16 to get 18.

$$\frac{2\times 18}{3}=\frac{\frac{5}{10}}{\frac{15}{20}}$$

Multiply 2 and 18 to get 36.

$$\frac{36}{3}=\frac{\frac{5}{10}}{\frac{15}{20}}$$

Divide 36 by 3 to get 12.

$$12=\frac{\frac{5}{10}}{\frac{15}{20}}$$

Divide \frac{5}{10} by \frac{15}{20} by multiplying \frac{5}{10} by the reciprocal of \frac{15}{20}.

$$12=\frac{5\times 20}{10\times 15}$$

Cancel out 2\times 5\times 5 in both numerator and denominator.

$$12=\frac{2}{3}$$

Convert 12 to fraction \frac{36}{3}.

$$\frac{36}{3}=\frac{2}{3}$$

Compare \frac{36}{3} and \frac{2}{3}.

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