Solve -0.5+3/4+0.2^2/0.64

$$-0.5+ \frac{ 3 }{ 4 } + \frac{ { 0.2 }^{ 2 } }{ 0.64 }$$

Evaluate

$$0.3125$$

Solution Steps

Convert decimal number -0.5 to fraction -\frac{5}{10}. Reduce the fraction -\frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{2}+\frac{3}{4}+\frac{0.2^{2}}{0.64}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

$$-\frac{2}{4}+\frac{3}{4}+\frac{0.2^{2}}{0.64}$$

Since -\frac{2}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{-2+3}{4}+\frac{0.2^{2}}{0.64}$$

Add -2 and 3 to get 1.

$$\frac{1}{4}+\frac{0.2^{2}}{0.64}$$

Calculate 0.2 to the power of 2 and get 0.04.

$$\frac{1}{4}+\frac{0.04}{0.64}$$

Expand \frac{0.04}{0.64} by multiplying both numerator and the denominator by 100.

$$\frac{1}{4}+\frac{4}{64}$$

Reduce the fraction \frac{4}{64} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}+\frac{1}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{1}{4} and \frac{1}{16} to fractions with denominator 16.

$$\frac{4}{16}+\frac{1}{16}$$

Since \frac{4}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{16}$$

Add 4 and 1 to get 5.

$$\frac{5}{16}$$

Factor

$$\frac{5}{2 ^ {4}} = 0.3125$$