Solve 44/5*35/6=

$$4 \frac { 4 } { 5 } \times 3 \frac { 5 } { 6 } =$$

Evaluate

$$\frac{92}{5}=18.4$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+4}{5}\times \frac{3\times 6+5}{6}$$

Add 20 and 4 to get 24.

$$\frac{24}{5}\times \frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{24}{5}\times \frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{24}{5}\times \frac{23}{6}$$

Multiply \frac{24}{5} times \frac{23}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 23}{5\times 6}$$

Do the multiplications in the fraction \frac{24\times 23}{5\times 6}.

$$\frac{552}{30}$$

Reduce the fraction \frac{552}{30} to lowest terms by extracting and canceling out 6.

$$\frac{92}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 23}{5} = 18\frac{2}{5} = 18.4$$