Solve 41/5*21/3*5/7

$$4 \frac { 1 } { 5 } \times 2 \frac { 1 } { 3 } \times \frac { 5 } { 7 }$$

Evaluate

$$7$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+1}{5}\times \frac{2\times 3+1}{3}\times \frac{5}{7}$$

Add 20 and 1 to get 21.

$$\frac{21}{5}\times \frac{2\times 3+1}{3}\times \frac{5}{7}$$

Multiply 2 and 3 to get 6.

$$\frac{21}{5}\times \frac{6+1}{3}\times \frac{5}{7}$$

Add 6 and 1 to get 7.

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

Multiply \frac{21}{5} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{21\times 7}{5\times 3}.

$$\frac{147}{15}\times \frac{5}{7}$$

Reduce the fraction \frac{147}{15} to lowest terms by extracting and canceling out 3.

$$\frac{49}{5}\times \frac{5}{7}$$

Multiply \frac{49}{5} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 5}{5\times 7}$$

Cancel out 5 in both numerator and denominator.

$$\frac{49}{7}$$

Divide 49 by 7 to get 7.

$$7$$

Factor

$$7$$