Solve (5-1/4):38/3-1/4=

$$( 5 - \frac { 1 } { 4 } ) : \frac { 38 } { 3 } - \frac { 1 } { 4 } =$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Convert 5 to fraction \frac{20}{4}.

$$\frac{\frac{20}{4}-\frac{1}{4}}{\frac{38}{3}}-\frac{1}{4}$$

Since \frac{20}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{20-1}{4}}{\frac{38}{3}}-\frac{1}{4}$$

Subtract 1 from 20 to get 19.

$$\frac{\frac{19}{4}}{\frac{38}{3}}-\frac{1}{4}$$

Divide \frac{19}{4} by \frac{38}{3} by multiplying \frac{19}{4} by the reciprocal of \frac{38}{3}.

$$\frac{19}{4}\times \frac{3}{38}-\frac{1}{4}$$

Multiply \frac{19}{4} times \frac{3}{38} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 3}{4\times 38}-\frac{1}{4}$$

Do the multiplications in the fraction \frac{19\times 3}{4\times 38}.

$$\frac{57}{152}-\frac{1}{4}$$

Reduce the fraction \frac{57}{152} to lowest terms by extracting and canceling out 19.

$$\frac{3}{8}-\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{3}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{3}{8}-\frac{2}{8}$$

Since \frac{3}{8} and \frac{2}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{8}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$