Solve -4.8+(-81/4)*2/3=

$$- 4.8 + ( - 8 \frac { 1 } { 4 } ) \times \frac { 2 } { 3 } =$$

Evaluate

$$-10.3$$

Solution Steps

Multiply 8 and 4 to get 32.

$$-4.8+\left(-\frac{32+1}{4}\right)\times \frac{2}{3}$$

Add 32 and 1 to get 33.

$$-4.8-\frac{33}{4}\times \frac{2}{3}$$

Multiply -\frac{33}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$-4.8+\frac{-33\times 2}{4\times 3}$$

Do the multiplications in the fraction \frac{-33\times 2}{4\times 3}.

$$-4.8+\frac{-66}{12}$$

Reduce the fraction \frac{-66}{12} to lowest terms by extracting and canceling out 6.

$$-4.8-\frac{11}{2}$$

Convert decimal number -4.8 to fraction -\frac{48}{10}. Reduce the fraction -\frac{48}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{24}{5}-\frac{11}{2}$$

Least common multiple of 5 and 2 is 10. Convert -\frac{24}{5} and \frac{11}{2} to fractions with denominator 10.

$$-\frac{48}{10}-\frac{55}{10}$$

Since -\frac{48}{10} and \frac{55}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-48-55}{10}$$

Subtract 55 from -48 to get -103.

$$-\frac{103}{10}$$

Factor

$$-10.3$$