Solve 33/4*15/9*22/5=

$$3 \frac { 3 } { 4 } \times 1 \frac { 5 } { 9 } \times 2 \frac { 2 } { 5 } =$$

Evaluate

$$14$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}\times \frac{1\times 9+5}{9}\times \frac{2\times 5+2}{5}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}\times \frac{1\times 9+5}{9}\times \frac{2\times 5+2}{5}$$

Multiply 1 and 9 to get 9.

$$\frac{15}{4}\times \frac{9+5}{9}\times \frac{2\times 5+2}{5}$$

Add 9 and 5 to get 14.

$$\frac{15}{4}\times \frac{14}{9}\times \frac{2\times 5+2}{5}$$

Multiply \frac{15}{4} times \frac{14}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 14}{4\times 9}\times \frac{2\times 5+2}{5}$$

Do the multiplications in the fraction \frac{15\times 14}{4\times 9}.

$$\frac{210}{36}\times \frac{2\times 5+2}{5}$$

Reduce the fraction \frac{210}{36} to lowest terms by extracting and canceling out 6.

$$\frac{35}{6}\times \frac{2\times 5+2}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{35}{6}\times \frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$\frac{35}{6}\times \frac{12}{5}$$

Multiply \frac{35}{6} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 12}{6\times 5}$$

Do the multiplications in the fraction \frac{35\times 12}{6\times 5}.

$$\frac{420}{30}$$

Divide 420 by 30 to get 14.

$$14$$

Factor

$$2\times 7$$