Solve 32/71.5+30

$$\frac{ 32 }{ 7 } 1.5+30$$

Evaluate

$$\frac{258}{7}\approx 36.857142857$$

Solution Steps

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{32}{7}\times \frac{3}{2}+30$$

Multiply \frac{32}{7} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 3}{7\times 2}+30$$

Do the multiplications in the fraction \frac{32\times 3}{7\times 2}.

$$\frac{96}{14}+30$$

Reduce the fraction \frac{96}{14} to lowest terms by extracting and canceling out 2.

$$\frac{48}{7}+30$$

Convert 30 to fraction \frac{210}{7}.

$$\frac{48}{7}+\frac{210}{7}$$

Since \frac{48}{7} and \frac{210}{7} have the same denominator, add them by adding their numerators.

$$\frac{48+210}{7}$$

Add 48 and 210 to get 258.

$$\frac{258}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 43}{7} = 36\frac{6}{7} = 36.857142857142854$$