Solve 13/5*1/4+31/3*9/10

$$1 \frac { 3 } { 5 } \times \frac { 1 } { 4 } + 3 \frac { 1 } { 3 } \times \frac { 9 } { 10 }$$

Evaluate

$$\frac{17}{5}=3.4$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+3}{5}\times \frac{1}{4}+\frac{3\times 3+1}{3}\times \frac{9}{10}$$

Add 5 and 3 to get 8.

$$\frac{8}{5}\times \frac{1}{4}+\frac{3\times 3+1}{3}\times \frac{9}{10}$$

Multiply \frac{8}{5} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 1}{5\times 4}+\frac{3\times 3+1}{3}\times \frac{9}{10}$$

Do the multiplications in the fraction \frac{8\times 1}{5\times 4}.

$$\frac{8}{20}+\frac{3\times 3+1}{3}\times \frac{9}{10}$$

Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.

$$\frac{2}{5}+\frac{3\times 3+1}{3}\times \frac{9}{10}$$

Multiply 3 and 3 to get 9.

$$\frac{2}{5}+\frac{9+1}{3}\times \frac{9}{10}$$

Add 9 and 1 to get 10.

$$\frac{2}{5}+\frac{10}{3}\times \frac{9}{10}$$

Multiply \frac{10}{3} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}+\frac{10\times 9}{3\times 10}$$

Cancel out 10 in both numerator and denominator.

$$\frac{2}{5}+\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$\frac{2}{5}+3$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{2}{5}+\frac{15}{5}$$

Since \frac{2}{5} and \frac{15}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+15}{5}$$

Add 2 and 15 to get 17.

$$\frac{17}{5}$$

Factor

$$\frac{17}{5} = 3\frac{2}{5} = 3.4$$