Solve 5-3div21/4*3/8

$$5 - 3 \div 2 \frac { 1 } { 4 } \times \frac { 3 } { 8 }$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Divide 3 by \frac{2\times 4+1}{4} by multiplying 3 by the reciprocal of \frac{2\times 4+1}{4}.

$$5-\frac{3\times 4}{2\times 4+1}\times \frac{3}{8}$$

Multiply 3 and 4 to get 12.

$$5-\frac{12}{2\times 4+1}\times \frac{3}{8}$$

Multiply 2 and 4 to get 8.

$$5-\frac{12}{8+1}\times \frac{3}{8}$$

Add 8 and 1 to get 9.

$$5-\frac{12}{9}\times \frac{3}{8}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$5-\frac{4}{3}\times \frac{3}{8}$$

Multiply \frac{4}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$5-\frac{4\times 3}{3\times 8}$$

Cancel out 3 in both numerator and denominator.

$$5-\frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$5-\frac{1}{2}$$

Convert 5 to fraction \frac{10}{2}.

$$\frac{10}{2}-\frac{1}{2}$$

Since \frac{10}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-1}{2}$$

Subtract 1 from 10 to get 9.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$