Solve 4/5-11/2*1/9*11/5

$$\frac { 4 } { 5 } - 1 \frac { 1 } { 2 } \times \frac { 1 } { 9 } \times 1 \frac { 1 } { 5 }$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{4}{5}-\frac{2+1}{2}\times \frac{1}{9}\times \frac{1\times 5+1}{5}$$

Add 2 and 1 to get 3.

$$\frac{4}{5}-\frac{3}{2}\times \frac{1}{9}\times \frac{1\times 5+1}{5}$$

Multiply \frac{3}{2} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{5}-\frac{3\times 1}{2\times 9}\times \frac{1\times 5+1}{5}$$

Do the multiplications in the fraction \frac{3\times 1}{2\times 9}.

$$\frac{4}{5}-\frac{3}{18}\times \frac{1\times 5+1}{5}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}-\frac{1}{6}\times \frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{4}{5}-\frac{1}{6}\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{4}{5}-\frac{1}{6}\times \frac{6}{5}$$

Multiply \frac{1}{6} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{5}-\frac{1\times 6}{6\times 5}$$

Cancel out 6 in both numerator and denominator.

$$\frac{4}{5}-\frac{1}{5}$$

Since \frac{4}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{5}$$

Subtract 1 from 4 to get 3.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$