Solve (1-1/2x3/4)div75%

$$( 1 - \frac { 1 } { 2 } x \frac { 3 } { 4 } ) \div 75 \%$$

Evaluate

$$-\frac{x}{2}+\frac{4}{3}$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1-\frac{1\times 3}{2\times 4}x}{\frac{75}{100}}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 4}.

$$\frac{1-\frac{3}{8}x}{\frac{75}{100}}$$

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

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

Divide 1-\frac{3}{8}x by \frac{3}{4} by multiplying 1-\frac{3}{8}x by the reciprocal of \frac{3}{4}.

$$\frac{\left(1-\frac{3}{8}x\right)\times 4}{3}$$

Use the distributive property to multiply 1-\frac{3}{8}x by 4.

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

Express -\frac{3}{8}\times 4 as a single fraction.

$$\frac{4+\frac{-3\times 4}{8}x}{3}$$

Multiply -3 and 4 to get -12.

$$\frac{4+\frac{-12}{8}x}{3}$$

Reduce the fraction \frac{-12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{4-\frac{3}{2}x}{3}$$

Expand

$$-\frac{x}{2}+\frac{4}{3}$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1-\frac{1\times 3}{2\times 4}x}{\frac{75}{100}}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 4}.

$$\frac{1-\frac{3}{8}x}{\frac{75}{100}}$$

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

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

Divide 1-\frac{3}{8}x by \frac{3}{4} by multiplying 1-\frac{3}{8}x by the reciprocal of \frac{3}{4}.

$$\frac{\left(1-\frac{3}{8}x\right)\times 4}{3}$$

Use the distributive property to multiply 1-\frac{3}{8}x by 4.

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

Express -\frac{3}{8}\times 4 as a single fraction.

$$\frac{4+\frac{-3\times 4}{8}x}{3}$$

Multiply -3 and 4 to get -12.

$$\frac{4+\frac{-12}{8}x}{3}$$

Reduce the fraction \frac{-12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{4-\frac{3}{2}x}{3}$$