Solve 34/5-22/3*11/5

$$3 \frac { 4 } { 5 } - 2 \frac { 2 } { 3 } \cdot 1 \frac { 1 } { 5 }$$

Evaluate

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

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+4}{5}-\frac{2\times 3+2}{3}\times \frac{1\times 5+1}{5}$$

Add 15 and 4 to get 19.

$$\frac{19}{5}-\frac{2\times 3+2}{3}\times \frac{1\times 5+1}{5}$$

Multiply 2 and 3 to get 6.

$$\frac{19}{5}-\frac{6+2}{3}\times \frac{1\times 5+1}{5}$$

Add 6 and 2 to get 8.

$$\frac{19}{5}-\frac{8}{3}\times \frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{19}{5}-\frac{8}{3}\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{19}{5}-\frac{8}{3}\times \frac{6}{5}$$

Multiply \frac{8}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19}{5}-\frac{8\times 6}{3\times 5}$$

Do the multiplications in the fraction \frac{8\times 6}{3\times 5}.

$$\frac{19}{5}-\frac{48}{15}$$

Reduce the fraction \frac{48}{15} to lowest terms by extracting and canceling out 3.

$$\frac{19}{5}-\frac{16}{5}$$

Since \frac{19}{5} and \frac{16}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-16}{5}$$

Subtract 16 from 19 to get 3.

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

Factor

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