Solve 3/11*(1/8+1/4)*88/3

$$\frac { 3 } { 11 } \cdot ( \frac { 1 } { 8 } + \frac { 1 } { 4 } ) \cdot \frac { 88 } { 3 }$$

Evaluate

$$3$$

Solution Steps

Least common multiple of 8 and 4 is 8. Convert \frac{1}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{3}{11}\left(\frac{1}{8}+\frac{2}{8}\right)\times \frac{88}{3}$$

Since \frac{1}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{3}{11}\times \frac{1+2}{8}\times \frac{88}{3}$$

Add 1 and 2 to get 3.

$$\frac{3}{11}\times \frac{3}{8}\times \frac{88}{3}$$

Multiply \frac{3}{11} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{11\times 8}\times \frac{88}{3}$$

Do the multiplications in the fraction \frac{3\times 3}{11\times 8}.

$$\frac{9}{88}\times \frac{88}{3}$$

Multiply \frac{9}{88} times \frac{88}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 88}{88\times 3}$$

Cancel out 88 in both numerator and denominator.

$$\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$3$$

Factor

$$3$$