Solve 1/2-(1/4div4/7)+3/5

$$\frac { 1 } { 2 } - ( \frac { 1 } { 4 } \div \frac { 4 } { 7 } ) + \frac { 3 } { 5 }$$

Evaluate

$$\frac{53}{80}=0.6625$$

Solution Steps

Divide \frac{1}{4} by \frac{4}{7} by multiplying \frac{1}{4} by the reciprocal of \frac{4}{7}.

$$\frac{1}{2}-\frac{1}{4}\times \frac{7}{4}+\frac{3}{5}$$

Multiply \frac{1}{4} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}-\frac{1\times 7}{4\times 4}+\frac{3}{5}$$

Do the multiplications in the fraction \frac{1\times 7}{4\times 4}.

$$\frac{1}{2}-\frac{7}{16}+\frac{3}{5}$$

Least common multiple of 2 and 16 is 16. Convert \frac{1}{2} and \frac{7}{16} to fractions with denominator 16.

$$\frac{8}{16}-\frac{7}{16}+\frac{3}{5}$$

Since \frac{8}{16} and \frac{7}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-7}{16}+\frac{3}{5}$$

Subtract 7 from 8 to get 1.

$$\frac{1}{16}+\frac{3}{5}$$

Least common multiple of 16 and 5 is 80. Convert \frac{1}{16} and \frac{3}{5} to fractions with denominator 80.

$$\frac{5}{80}+\frac{48}{80}$$

Since \frac{5}{80} and \frac{48}{80} have the same denominator, add them by adding their numerators.

$$\frac{5+48}{80}$$

Add 5 and 48 to get 53.

$$\frac{53}{80}$$

Factor

$$\frac{53}{2 ^ {4} \cdot 5} = 0.6625$$