Solve 1/8-1/4*3/2+3/5

$$\frac { 1 } { 8 } - \frac { 1 } { 4 } \cdot \frac { 3 } { 2 } + \frac { 3 } { 5 }$$

Evaluate

$$\frac{7}{20}=0.35$$

Solution Steps

Multiply \frac{1}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{8}-\frac{1\times 3}{4\times 2}+\frac{3}{5}$$

Do the multiplications in the fraction \frac{1\times 3}{4\times 2}.

$$\frac{1}{8}-\frac{3}{8}+\frac{3}{5}$$

Since \frac{1}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-3}{8}+\frac{3}{5}$$

Subtract 3 from 1 to get -2.

$$\frac{-2}{8}+\frac{3}{5}$$

Reduce the fraction \frac{-2}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{4}+\frac{3}{5}$$

Least common multiple of 4 and 5 is 20. Convert -\frac{1}{4} and \frac{3}{5} to fractions with denominator 20.

$$-\frac{5}{20}+\frac{12}{20}$$

Since -\frac{5}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.

$$\frac{-5+12}{20}$$

Add -5 and 12 to get 7.

$$\frac{7}{20}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 5} = 0.35$$