Solve 22/5*15/9*13/7

$$2 \frac { 2 } { 5 } \times 1 \frac { 5 } { 9 } \times 1 \frac { 3 } { 7 }$$

Evaluate

$$\frac{16}{3}\approx 5.333333333$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+2}{5}\times \frac{1\times 9+5}{9}\times \frac{1\times 7+3}{7}$$

Add 10 and 2 to get 12.

$$\frac{12}{5}\times \frac{1\times 9+5}{9}\times \frac{1\times 7+3}{7}$$

Multiply 1 and 9 to get 9.

$$\frac{12}{5}\times \frac{9+5}{9}\times \frac{1\times 7+3}{7}$$

Add 9 and 5 to get 14.

$$\frac{12}{5}\times \frac{14}{9}\times \frac{1\times 7+3}{7}$$

Multiply \frac{12}{5} times \frac{14}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 14}{5\times 9}\times \frac{1\times 7+3}{7}$$

Do the multiplications in the fraction \frac{12\times 14}{5\times 9}.

$$\frac{168}{45}\times \frac{1\times 7+3}{7}$$

Reduce the fraction \frac{168}{45} to lowest terms by extracting and canceling out 3.

$$\frac{56}{15}\times \frac{1\times 7+3}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{56}{15}\times \frac{7+3}{7}$$

Add 7 and 3 to get 10.

$$\frac{56}{15}\times \frac{10}{7}$$

Multiply \frac{56}{15} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{56\times 10}{15\times 7}$$

Do the multiplications in the fraction \frac{56\times 10}{15\times 7}.

$$\frac{560}{105}$$

Reduce the fraction \frac{560}{105} to lowest terms by extracting and canceling out 35.

$$\frac{16}{3}$$

Factor

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$