Solve 11/2*24/5

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

Evaluate

$$\frac{21}{5}=4.2$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 2 and 5 to get 10.

$$\frac{3}{2}\times \frac{10+4}{5}$$

Add 10 and 4 to get 14.

$$\frac{3}{2}\times \frac{14}{5}$$

Multiply \frac{3}{2} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 14}{2\times 5}$$

Do the multiplications in the fraction \frac{3\times 14}{2\times 5}.

$$\frac{42}{10}$$

Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{21}{5}$$

Factor

$$\frac{3 \cdot 7}{5} = 4\frac{1}{5} = 4.2$$