Solve -1.8+32*5/9

$$-1.8+32 \times \frac{ 5 }{ 9 }$$

Evaluate

$$\frac{719}{45}\approx 15.977777778$$

Solution Steps

Express 32\times \frac{5}{9} as a single fraction.

$$-1.8+\frac{32\times 5}{9}$$

Multiply 32 and 5 to get 160.

$$-1.8+\frac{160}{9}$$

Convert decimal number -1.8 to fraction -\frac{18}{10}. Reduce the fraction -\frac{18}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{5}+\frac{160}{9}$$

Least common multiple of 5 and 9 is 45. Convert -\frac{9}{5} and \frac{160}{9} to fractions with denominator 45.

$$-\frac{81}{45}+\frac{800}{45}$$

Since -\frac{81}{45} and \frac{800}{45} have the same denominator, add them by adding their numerators.

$$\frac{-81+800}{45}$$

Add -81 and 800 to get 719.

$$\frac{719}{45}$$

Factor

$$\frac{719}{5 \cdot 3 ^ {2}} = 15\frac{44}{45} = 15.977777777777778$$