Solve 4/2-6/0.75/frac{3{5}+4/1}

$$\frac { \frac { 4 } { 2 } - \frac { 6 } { 0.75 } } { \frac { 3 } { 5 } + \frac { 4 } { 1 } }$$

Evaluate

$$-\frac{30}{23}\approx -1.304347826$$

Solution Steps

Divide 4 by 2 to get 2.

$$\frac{2-\frac{6}{0.75}}{\frac{3}{5}+\frac{4}{1}}$$

Expand \frac{6}{0.75} by multiplying both numerator and the denominator by 100.

$$\frac{2-\frac{600}{75}}{\frac{3}{5}+\frac{4}{1}}$$

Divide 600 by 75 to get 8.

$$\frac{2-8}{\frac{3}{5}+\frac{4}{1}}$$

Subtract 8 from 2 to get -6.

$$\frac{-6}{\frac{3}{5}+\frac{4}{1}}$$

Anything divided by one gives itself.

$$\frac{-6}{\frac{3}{5}+4}$$

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

$$\frac{-6}{\frac{3}{5}+\frac{20}{5}}$$

Since \frac{3}{5} and \frac{20}{5} have the same denominator, add them by adding their numerators.

$$\frac{-6}{\frac{3+20}{5}}$$

Add 3 and 20 to get 23.

$$\frac{-6}{\frac{23}{5}}$$

Divide -6 by \frac{23}{5} by multiplying -6 by the reciprocal of \frac{23}{5}.

$$-6\times \frac{5}{23}$$

Express -6\times \frac{5}{23} as a single fraction.

$$\frac{-6\times 5}{23}$$

Multiply -6 and 5 to get -30.

$$\frac{-30}{23}$$

Fraction \frac{-30}{23} can be rewritten as -\frac{30}{23} by extracting the negative sign.

$$-\frac{30}{23}$$

Factor

$$-\frac{30}{23} = -1\frac{7}{23} = -1.3043478260869565$$