Solve x(1/3+3/8+2/5)

$$x ( 1 / 3 + 3 / 8 + 2 / 5 )$$

Evaluate

$$\frac{133x}{120}$$

Solution Steps

Least common multiple of 3 and 8 is 24. Convert \frac{1}{3} and \frac{3}{8} to fractions with denominator 24.

$$x\left(\frac{8}{24}+\frac{9}{24}+\frac{2}{5}\right)$$

Since \frac{8}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

$$x\left(\frac{8+9}{24}+\frac{2}{5}\right)$$

Add 8 and 9 to get 17.

$$x\left(\frac{17}{24}+\frac{2}{5}\right)$$

Least common multiple of 24 and 5 is 120. Convert \frac{17}{24} and \frac{2}{5} to fractions with denominator 120.

$$x\left(\frac{85}{120}+\frac{48}{120}\right)$$

Since \frac{85}{120} and \frac{48}{120} have the same denominator, add them by adding their numerators.

$$x\times \frac{85+48}{120}$$

Add 85 and 48 to get 133.

$$x\times \frac{133}{120}$$

Expand

$$\frac{133x}{120}$$

Solution Steps

Least common multiple of 3 and 8 is 24. Convert \frac{1}{3} and \frac{3}{8} to fractions with denominator 24.

$$x\left(\frac{8}{24}+\frac{9}{24}+\frac{2}{5}\right)$$

Since \frac{8}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

$$x\left(\frac{8+9}{24}+\frac{2}{5}\right)$$

Add 8 and 9 to get 17.

$$x\left(\frac{17}{24}+\frac{2}{5}\right)$$

Least common multiple of 24 and 5 is 120. Convert \frac{17}{24} and \frac{2}{5} to fractions with denominator 120.

$$x\left(\frac{85}{120}+\frac{48}{120}\right)$$

Since \frac{85}{120} and \frac{48}{120} have the same denominator, add them by adding their numerators.

$$x\times \frac{85+48}{120}$$

Add 85 and 48 to get 133.

$$x\times \frac{133}{120}$$