Solve 1/3*3/5*21/4

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

Evaluate

$$\frac{9}{20}=0.45$$

Solution Steps

Multiply \frac{1}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

$$\frac{1}{5}\times \frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{1}{5}\times \frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{1}{5}\times \frac{9}{4}$$

Multiply \frac{1}{5} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{5\times 4}$$

Do the multiplications in the fraction \frac{1\times 9}{5\times 4}.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$