Solve 1/2-3/4*3/5+1/10=

$$\frac { 1 } { 2 } - \frac { 3 } { 4 } \cdot \frac { 3 } { 5 } + \frac { 1 } { 10 } =$$

Evaluate

$$\frac{3}{20}=0.15$$

Solution Steps

Multiply \frac{3}{4} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}-\frac{3\times 3}{4\times 5}+\frac{1}{10}$$

Do the multiplications in the fraction \frac{3\times 3}{4\times 5}.

$$\frac{1}{2}-\frac{9}{20}+\frac{1}{10}$$

Least common multiple of 2 and 20 is 20. Convert \frac{1}{2} and \frac{9}{20} to fractions with denominator 20.

$$\frac{10}{20}-\frac{9}{20}+\frac{1}{10}$$

Since \frac{10}{20} and \frac{9}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-9}{20}+\frac{1}{10}$$

Subtract 9 from 10 to get 1.

$$\frac{1}{20}+\frac{1}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{1}{20} and \frac{1}{10} to fractions with denominator 20.

$$\frac{1}{20}+\frac{2}{20}$$

Since \frac{1}{20} and \frac{2}{20} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{20}$$

Add 1 and 2 to get 3.

$$\frac{3}{20}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 5} = 0.15$$