Solve 108div36*1/3+2/5*33/4=?

$$108 \div 36 \times \frac { 1 } { 3 } + \frac { 2 } { 5 } \times 3 \frac { 3 } { 4 } = ?$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Divide 108 by 36 to get 3.

$$3\times \frac{1}{3}+\frac{2}{5}\times \frac{3\times 4+3}{4}$$

Cancel out 3 and 3.

$$1+\frac{2}{5}\times \frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$1+\frac{2}{5}\times \frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$1+\frac{2}{5}\times \frac{15}{4}$$

Multiply \frac{2}{5} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$1+\frac{2\times 15}{5\times 4}$$

Do the multiplications in the fraction \frac{2\times 15}{5\times 4}.

$$1+\frac{30}{20}$$

Reduce the fraction \frac{30}{20} to lowest terms by extracting and canceling out 10.

$$1+\frac{3}{2}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{2}+\frac{3}{2}$$

Since \frac{2}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{2}$$

Add 2 and 3 to get 5.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$