Solve 2/3-4/21/5=

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

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Divide 4 by 2 to get 2.

$$\frac{2}{3}-2\times \frac{1}{5}$$

Multiply 2 and \frac{1}{5} to get \frac{2}{5}.

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

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{10}{15}-\frac{6}{15}$$

Since \frac{10}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-6}{15}$$

Subtract 6 from 10 to get 4.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$