Solve 35/9*21/7*21/10

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

Evaluate

$$16$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+5}{9}\times \frac{2\times 7+1}{7}\times \frac{2\times 10+1}{10}$$

Add 27 and 5 to get 32.

$$\frac{32}{9}\times \frac{2\times 7+1}{7}\times \frac{2\times 10+1}{10}$$

Multiply 2 and 7 to get 14.

$$\frac{32}{9}\times \frac{14+1}{7}\times \frac{2\times 10+1}{10}$$

Add 14 and 1 to get 15.

$$\frac{32}{9}\times \frac{15}{7}\times \frac{2\times 10+1}{10}$$

Multiply \frac{32}{9} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 15}{9\times 7}\times \frac{2\times 10+1}{10}$$

Do the multiplications in the fraction \frac{32\times 15}{9\times 7}.

$$\frac{480}{63}\times \frac{2\times 10+1}{10}$$

Reduce the fraction \frac{480}{63} to lowest terms by extracting and canceling out 3.

$$\frac{160}{21}\times \frac{2\times 10+1}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{160}{21}\times \frac{20+1}{10}$$

Add 20 and 1 to get 21.

$$\frac{160}{21}\times \frac{21}{10}$$

Multiply \frac{160}{21} times \frac{21}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{160\times 21}{21\times 10}$$

Cancel out 21 in both numerator and denominator.

$$\frac{160}{10}$$

Divide 160 by 10 to get 16.

$$16$$

Factor

$$2^{4}$$