Solve 15/9*33/4

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

Evaluate

$$\frac{35}{6}\approx 5.833333333$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+5}{9}\times \frac{3\times 4+3}{4}$$

Add 9 and 5 to get 14.

$$\frac{14}{9}\times \frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{14}{9}\times \frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{14}{9}\times \frac{15}{4}$$

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

$$\frac{14\times 15}{9\times 4}$$

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

$$\frac{210}{36}$$

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

$$\frac{35}{6}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$$