Solve B(8/5-1)*5/27+(0,5/1-1,3):7=

$$B ( \frac { 8 } { 5 } - 1 ) \cdot \frac { 5 } { 27 } + ( \frac { 0,5 } { 1 } - 1,3 ) : 7 =$$

Evaluate

$$\frac{B}{9}-\frac{4}{35}$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$B\left(\frac{8}{5}-\frac{5}{5}\right)\times \frac{5}{27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Since \frac{8}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$B\times \frac{8-5}{5}\times \frac{5}{27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Subtract 5 from 8 to get 3.

$$B\times \frac{3}{5}\times \frac{5}{27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Multiply \frac{3}{5} times \frac{5}{27} by multiplying numerator times numerator and denominator times denominator.

$$B\times \frac{3\times 5}{5\times 27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Cancel out 5 in both numerator and denominator.

$$B\times \frac{3}{27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Reduce the fraction \frac{3}{27} to lowest terms by extracting and canceling out 3.

$$B\times \frac{1}{9}+\frac{\frac{0,5}{1}-1,3}{7}$$

Anything divided by one gives itself.

$$B\times \frac{1}{9}+\frac{0,5-1,3}{7}$$

Subtract 1,3 from 0,5 to get -0,8.

$$B\times \frac{1}{9}+\frac{-0,8}{7}$$

Expand \frac{-0,8}{7} by multiplying both numerator and the denominator by 10.

$$B\times \frac{1}{9}+\frac{-8}{70}$$

Reduce the fraction \frac{-8}{70} to lowest terms by extracting and canceling out 2.

$$B\times \frac{1}{9}-\frac{4}{35}$$

Expand

$$\frac{B}{9}-\frac{4}{35}$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$B\left(\frac{8}{5}-\frac{5}{5}\right)\times \frac{5}{27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Since \frac{8}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$B\times \frac{8-5}{5}\times \frac{5}{27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Subtract 5 from 8 to get 3.

$$B\times \frac{3}{5}\times \frac{5}{27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Multiply \frac{3}{5} times \frac{5}{27} by multiplying numerator times numerator and denominator times denominator.

$$B\times \frac{3\times 5}{5\times 27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Cancel out 5 in both numerator and denominator.

$$B\times \frac{3}{27}+\frac{\frac{0,5}{1}-1,3}{7}$$

Reduce the fraction \frac{3}{27} to lowest terms by extracting and canceling out 3.

$$B\times \frac{1}{9}+\frac{\frac{0,5}{1}-1,3}{7}$$

Anything divided by one gives itself.

$$B\times \frac{1}{9}+\frac{0,5-1,3}{7}$$

Subtract 1,3 from 0,5 to get -0,8.

$$B\times \frac{1}{9}+\frac{-0,8}{7}$$

Expand \frac{-0,8}{7} by multiplying both numerator and the denominator by 10.

$$B\times \frac{1}{9}+\frac{-8}{70}$$

Reduce the fraction \frac{-8}{70} to lowest terms by extracting and canceling out 2.

$$B\times \frac{1}{9}-\frac{4}{35}$$