Solve 0,4*7/3-2/3

$$0,4 \times \frac { 7 } { 3 } - \frac { 2 } { 3 }$$

Evaluate

$$\frac{4}{15}\approx 0,266666667$$

Solution Steps

Convert decimal number 0,4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{7}{3}-\frac{2}{3}$$

Multiply \frac{2}{5} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 7}{5\times 3}-\frac{2}{3}$$

Do the multiplications in the fraction \frac{2\times 7}{5\times 3}.

$$\frac{14}{15}-\frac{2}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{14}{15} and \frac{2}{3} to fractions with denominator 15.

$$\frac{14}{15}-\frac{10}{15}$$

Since \frac{14}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-10}{15}$$

Subtract 10 from 14 to get 4.

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

Factor

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