Solve 4/29*[1-(3/4-5/8)]

$$\frac { 4 } { 29 } \times [ 1 - ( \frac { 3 } { 4 } - \frac { 5 } { 8 } ) ]$$

Evaluate

$$\frac{7}{58}\approx 0.120689655$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{4}{29}\left(1-\left(\frac{6}{8}-\frac{5}{8}\right)\right)$$

Since \frac{6}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{29}\left(1-\frac{6-5}{8}\right)$$

Subtract 5 from 6 to get 1.

$$\frac{4}{29}\left(1-\frac{1}{8}\right)$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{4}{29}\left(\frac{8}{8}-\frac{1}{8}\right)$$

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

$$\frac{4}{29}\times \frac{8-1}{8}$$

Subtract 1 from 8 to get 7.

$$\frac{4}{29}\times \frac{7}{8}$$

Multiply \frac{4}{29} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 7}{29\times 8}$$

Do the multiplications in the fraction \frac{4\times 7}{29\times 8}.

$$\frac{28}{232}$$

Reduce the fraction \frac{28}{232} to lowest terms by extracting and canceling out 4.

$$\frac{7}{58}$$

Factor

$$\frac{7}{2 \cdot 29} = 0.1206896551724138$$