Solve (5+1/3)*(15/4-3/2)

$$( 5 + \frac { 1 } { 3 } ) \cdot ( \frac { 15 } { 4 } - \frac { 3 } { 2 } )$$

Evaluate

$$12$$

Solution Steps

Convert 5 to fraction \frac{15}{3}.

$$\left(\frac{15}{3}+\frac{1}{3}\right)\left(\frac{15}{4}-\frac{3}{2}\right)$$

Since \frac{15}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{15+1}{3}\left(\frac{15}{4}-\frac{3}{2}\right)$$

Add 15 and 1 to get 16.

$$\frac{16}{3}\left(\frac{15}{4}-\frac{3}{2}\right)$$

Least common multiple of 4 and 2 is 4. Convert \frac{15}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{16}{3}\left(\frac{15}{4}-\frac{6}{4}\right)$$

Since \frac{15}{4} and \frac{6}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16}{3}\times \frac{15-6}{4}$$

Subtract 6 from 15 to get 9.

$$\frac{16}{3}\times \frac{9}{4}$$

Multiply \frac{16}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 9}{3\times 4}$$

Do the multiplications in the fraction \frac{16\times 9}{3\times 4}.

$$\frac{144}{12}$$

Divide 144 by 12 to get 12.

$$12$$

Factor

$$2^{2}\times 3$$