Solve (5-1/8):31/4-1/2

$$( 5 - \frac { 1 } { 8 } ) : 3 \frac { 1 } { 4 } - \frac { 1 } { 2 }$$

Evaluate

$$1$$

Solution Steps

Convert 5 to fraction \frac{40}{8}.

$$\frac{\frac{40}{8}-\frac{1}{8}}{\frac{3\times 4+1}{4}}-\frac{1}{2}$$

Since \frac{40}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{40-1}{8}}{\frac{3\times 4+1}{4}}-\frac{1}{2}$$

Subtract 1 from 40 to get 39.

$$\frac{\frac{39}{8}}{\frac{3\times 4+1}{4}}-\frac{1}{2}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{39}{8}}{\frac{12+1}{4}}-\frac{1}{2}$$

Add 12 and 1 to get 13.

$$\frac{\frac{39}{8}}{\frac{13}{4}}-\frac{1}{2}$$

Divide \frac{39}{8} by \frac{13}{4} by multiplying \frac{39}{8} by the reciprocal of \frac{13}{4}.

$$\frac{39}{8}\times \frac{4}{13}-\frac{1}{2}$$

Multiply \frac{39}{8} times \frac{4}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{39\times 4}{8\times 13}-\frac{1}{2}$$

Do the multiplications in the fraction \frac{39\times 4}{8\times 13}.

$$\frac{156}{104}-\frac{1}{2}$$

Reduce the fraction \frac{156}{104} to lowest terms by extracting and canceling out 52.

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

Since \frac{3}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 3 to get 2.

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

Divide 2 by 2 to get 1.

$$1$$

Factor

$$1$$