Solve -4+5/4/frac{10{3}-1}

$$\frac { - 4 + \frac { 5 } { 4 } } { \frac { 10 } { 3 } - 1 }$$

Evaluate

$$-\frac{33}{28}\approx -1.178571429$$

Solution Steps

Convert -4 to fraction -\frac{16}{4}.

$$\frac{-\frac{16}{4}+\frac{5}{4}}{\frac{10}{3}-1}$$

Since -\frac{16}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-16+5}{4}}{\frac{10}{3}-1}$$

Add -16 and 5 to get -11.

$$\frac{-\frac{11}{4}}{\frac{10}{3}-1}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{-\frac{11}{4}}{\frac{10}{3}-\frac{3}{3}}$$

Since \frac{10}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-\frac{11}{4}}{\frac{10-3}{3}}$$

Subtract 3 from 10 to get 7.

$$\frac{-\frac{11}{4}}{\frac{7}{3}}$$

Divide -\frac{11}{4} by \frac{7}{3} by multiplying -\frac{11}{4} by the reciprocal of \frac{7}{3}.

$$-\frac{11}{4}\times \frac{3}{7}$$

Multiply -\frac{11}{4} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\times 3}{4\times 7}$$

Do the multiplications in the fraction \frac{-11\times 3}{4\times 7}.

$$\frac{-33}{28}$$

Fraction \frac{-33}{28} can be rewritten as -\frac{33}{28} by extracting the negative sign.

$$-\frac{33}{28}$$

Factor

$$-\frac{33}{28} = -1\frac{5}{28} = -1.1785714285714286$$