Solve 22.5*(7/15+0.36)

$$22.5 \times ( \frac { 7 } { 15 } + 0.36 )$$

Evaluate

$$18.6$$

Solution Steps

Convert decimal number 0.36 to fraction \frac{36}{100}. Reduce the fraction \frac{36}{100} to lowest terms by extracting and canceling out 4.

$$22.5\left(\frac{7}{15}+\frac{9}{25}\right)$$

Least common multiple of 15 and 25 is 75. Convert \frac{7}{15} and \frac{9}{25} to fractions with denominator 75.

$$22.5\left(\frac{35}{75}+\frac{27}{75}\right)$$

Since \frac{35}{75} and \frac{27}{75} have the same denominator, add them by adding their numerators.

$$22.5\times \frac{35+27}{75}$$

Add 35 and 27 to get 62.

$$22.5\times \frac{62}{75}$$

Convert decimal number 22.5 to fraction \frac{225}{10}. Reduce the fraction \frac{225}{10} to lowest terms by extracting and canceling out 5.

$$\frac{45}{2}\times \frac{62}{75}$$

Multiply \frac{45}{2} times \frac{62}{75} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 62}{2\times 75}$$

Do the multiplications in the fraction \frac{45\times 62}{2\times 75}.

$$\frac{2790}{150}$$

Reduce the fraction \frac{2790}{150} to lowest terms by extracting and canceling out 30.

$$\frac{93}{5}$$

Factor

$$\frac{3 \cdot 31}{5} = 18\frac{3}{5} = 18.6$$