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

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

Evaluate

$$\frac{98\left(x+100\right)}{1375}$$

Solution Steps

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$\frac{7}{10}\times \frac{20}{100}\times \frac{70}{110}\times \frac{80}{100}\left(100+x\right)$$

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

$$\frac{7}{10}\times \frac{1}{5}\times \frac{70}{110}\times \frac{80}{100}\left(100+x\right)$$

Multiply \frac{7}{10} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1}{10\times 5}\times \frac{70}{110}\times \frac{80}{100}\left(100+x\right)$$

Do the multiplications in the fraction \frac{7\times 1}{10\times 5}.

$$\frac{7}{50}\times \frac{70}{110}\times \frac{80}{100}\left(100+x\right)$$

Reduce the fraction \frac{70}{110} to lowest terms by extracting and canceling out 10.

$$\frac{7}{50}\times \frac{7}{11}\times \frac{80}{100}\left(100+x\right)$$

Multiply \frac{7}{50} times \frac{7}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 7}{50\times 11}\times \frac{80}{100}\left(100+x\right)$$

Do the multiplications in the fraction \frac{7\times 7}{50\times 11}.

$$\frac{49}{550}\times \frac{80}{100}\left(100+x\right)$$

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

$$\frac{49}{550}\times \frac{4}{5}\left(100+x\right)$$

Multiply \frac{49}{550} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 4}{550\times 5}\left(100+x\right)$$

Do the multiplications in the fraction \frac{49\times 4}{550\times 5}.

$$\frac{196}{2750}\left(100+x\right)$$

Reduce the fraction \frac{196}{2750} to lowest terms by extracting and canceling out 2.

$$\frac{98}{1375}\left(100+x\right)$$

Use the distributive property to multiply \frac{98}{1375} by 100+x.

$$\frac{98}{1375}\times 100+\frac{98}{1375}x$$

Express \frac{98}{1375}\times 100 as a single fraction.

$$\frac{98\times 100}{1375}+\frac{98}{1375}x$$

Multiply 98 and 100 to get 9800.

$$\frac{9800}{1375}+\frac{98}{1375}x$$

Reduce the fraction \frac{9800}{1375} to lowest terms by extracting and canceling out 25.

$$\frac{392}{55}+\frac{98}{1375}x$$

Expand

$$\frac{98x}{1375}+\frac{392}{55}$$

Solution Steps

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$\frac{7}{10}\times \frac{20}{100}\times \frac{70}{110}\times \frac{80}{100}\left(100+x\right)$$

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

$$\frac{7}{10}\times \frac{1}{5}\times \frac{70}{110}\times \frac{80}{100}\left(100+x\right)$$

Multiply \frac{7}{10} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1}{10\times 5}\times \frac{70}{110}\times \frac{80}{100}\left(100+x\right)$$

Do the multiplications in the fraction \frac{7\times 1}{10\times 5}.

$$\frac{7}{50}\times \frac{70}{110}\times \frac{80}{100}\left(100+x\right)$$

Reduce the fraction \frac{70}{110} to lowest terms by extracting and canceling out 10.

$$\frac{7}{50}\times \frac{7}{11}\times \frac{80}{100}\left(100+x\right)$$

Multiply \frac{7}{50} times \frac{7}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 7}{50\times 11}\times \frac{80}{100}\left(100+x\right)$$

Do the multiplications in the fraction \frac{7\times 7}{50\times 11}.

$$\frac{49}{550}\times \frac{80}{100}\left(100+x\right)$$

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

$$\frac{49}{550}\times \frac{4}{5}\left(100+x\right)$$

Multiply \frac{49}{550} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 4}{550\times 5}\left(100+x\right)$$

Do the multiplications in the fraction \frac{49\times 4}{550\times 5}.

$$\frac{196}{2750}\left(100+x\right)$$

Reduce the fraction \frac{196}{2750} to lowest terms by extracting and canceling out 2.

$$\frac{98}{1375}\left(100+x\right)$$

Use the distributive property to multiply \frac{98}{1375} by 100+x.

$$\frac{98}{1375}\times 100+\frac{98}{1375}x$$

Express \frac{98}{1375}\times 100 as a single fraction.

$$\frac{98\times 100}{1375}+\frac{98}{1375}x$$

Multiply 98 and 100 to get 9800.

$$\frac{9800}{1375}+\frac{98}{1375}x$$

Reduce the fraction \frac{9800}{1375} to lowest terms by extracting and canceling out 25.

$$\frac{392}{55}+\frac{98}{1375}x$$