Solve 70/100*20/100=170/110*80/100)*(100+x)

$$\frac { 70 } { 100 } \times \frac { 20 } { 100 } = 1 \frac { 70 } { 110 } \times \frac { 80 } { 100 } ) \times ( 100 + x )$$

Verify

Solution Steps

Multiply both sides of the equation by 1100, the least common multiple of 100,110.

$$770\times \frac{20}{100}=10\left(1\times 110+70\right)\times \frac{80}{100}$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$770\times \frac{1}{5}=10\left(1\times 110+70\right)\times \frac{80}{100}$$

Multiply 770 and \frac{1}{5} to get \frac{770}{5}.

$$\frac{770}{5}=10\left(1\times 110+70\right)\times \frac{80}{100}$$

Divide 770 by 5 to get 154.

$$154=10\left(1\times 110+70\right)\times \frac{80}{100}$$

Multiply 1 and 110 to get 110.

$$154=10\left(110+70\right)\times \frac{80}{100}$$

Add 110 and 70 to get 180.

$$154=10\times 180\times \frac{80}{100}$$

Multiply 10 and 180 to get 1800.

$$154=1800\times \frac{80}{100}$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$154=1800\times \frac{4}{5}$$

Express 1800\times \frac{4}{5} as a single fraction.

$$154=\frac{1800\times 4}{5}$$

Multiply 1800 and 4 to get 7200.

$$154=\frac{7200}{5}$$

Divide 7200 by 5 to get 1440.

$$154=1440$$

Compare 154 and 1440.

$$\text{false}$$