Solve 3/1*10/21+3/5*10/7

$$\frac { 3 } { 1 } \times \frac { 10 } { 21 } + \frac { 3 } { 5 } \times \frac { 10 } { 7 }$$

Evaluate

$$\frac{16}{7}\approx 2.285714286$$

Solution Steps

Anything divided by one gives itself.

$$3\times \frac{10}{21}+\frac{3}{5}\times \frac{10}{7}$$

Express 3\times \frac{10}{21} as a single fraction.

$$\frac{3\times 10}{21}+\frac{3}{5}\times \frac{10}{7}$$

Multiply 3 and 10 to get 30.

$$\frac{30}{21}+\frac{3}{5}\times \frac{10}{7}$$

Reduce the fraction \frac{30}{21} to lowest terms by extracting and canceling out 3.

$$\frac{10}{7}+\frac{3}{5}\times \frac{10}{7}$$

Multiply \frac{3}{5} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10}{7}+\frac{3\times 10}{5\times 7}$$

Do the multiplications in the fraction \frac{3\times 10}{5\times 7}.

$$\frac{10}{7}+\frac{30}{35}$$

Reduce the fraction \frac{30}{35} to lowest terms by extracting and canceling out 5.

$$\frac{10}{7}+\frac{6}{7}$$

Since \frac{10}{7} and \frac{6}{7} have the same denominator, add them by adding their numerators.

$$\frac{10+6}{7}$$

Add 10 and 6 to get 16.

$$\frac{16}{7}$$

Factor

$$\frac{2 ^ {4}}{7} = 2\frac{2}{7} = 2.2857142857142856$$