Solve 2/5div3/4+-2/7

$$\frac { 2 } { 5 } \div \frac { 3 } { 4 } + \frac { - 2 } { 7 }$$

Evaluate

$$\frac{26}{105}\approx 0.247619048$$

Solution Steps

Divide \frac{2}{5} by \frac{3}{4} by multiplying \frac{2}{5} by the reciprocal of \frac{3}{4}.

$$\frac{2}{5}\times \frac{4}{3}+\frac{-2}{7}$$

Multiply \frac{2}{5} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{5\times 3}+\frac{-2}{7}$$

Do the multiplications in the fraction \frac{2\times 4}{5\times 3}.

$$\frac{8}{15}+\frac{-2}{7}$$

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$\frac{8}{15}-\frac{2}{7}$$

Least common multiple of 15 and 7 is 105. Convert \frac{8}{15} and \frac{2}{7} to fractions with denominator 105.

$$\frac{56}{105}-\frac{30}{105}$$

Since \frac{56}{105} and \frac{30}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-30}{105}$$

Subtract 30 from 56 to get 26.

$$\frac{26}{105}$$

Factor

$$\frac{2 \cdot 13}{3 \cdot 5 \cdot 7} = 0.24761904761904763$$