Solve 3/5*7/11+3/5*4/11

$$\frac { 3 } { 5 } \times \frac { 7 } { 11 } + \frac { 3 } { 5 } \times \frac { 4 } { 11 }$$

Evaluate

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

Solution Steps

Multiply \frac{3}{5} times \frac{7}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 7}{5\times 11}+\frac{3}{5}\times \frac{4}{11}$$

Do the multiplications in the fraction \frac{3\times 7}{5\times 11}.

$$\frac{21}{55}+\frac{3}{5}\times \frac{4}{11}$$

Multiply \frac{3}{5} times \frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21}{55}+\frac{3\times 4}{5\times 11}$$

Do the multiplications in the fraction \frac{3\times 4}{5\times 11}.

$$\frac{21}{55}+\frac{12}{55}$$

Since \frac{21}{55} and \frac{12}{55} have the same denominator, add them by adding their numerators.

$$\frac{21+12}{55}$$

Add 21 and 12 to get 33.

$$\frac{33}{55}$$

Reduce the fraction \frac{33}{55} to lowest terms by extracting and canceling out 11.

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

Factor

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