Solve -4.8x(-4)*11/4div2/5

$$- 4.8 x ( - 4 ) \times 1 \frac { 1 } { 4 } \div \frac { 2 } { 5 }$$

Evaluate

$$60x$$

Solution Steps

Multiply -4.8 and -4 to get 19.2.

$$\frac{19.2x\times \frac{1\times 4+1}{4}}{\frac{2}{5}}$$

Multiply 1 and 4 to get 4.

$$\frac{19.2x\times \frac{4+1}{4}}{\frac{2}{5}}$$

Add 4 and 1 to get 5.

$$\frac{19.2x\times \frac{5}{4}}{\frac{2}{5}}$$

Convert decimal number 19.2 to fraction \frac{192}{10}. Reduce the fraction \frac{192}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{96}{5}x\times \frac{5}{4}}{\frac{2}{5}}$$

Multiply \frac{96}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{96\times 5}{5\times 4}x}{\frac{2}{5}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{96}{4}x}{\frac{2}{5}}$$

Divide 96 by 4 to get 24.

$$\frac{24x}{\frac{2}{5}}$$

Divide 24x by \frac{2}{5} by multiplying 24x by the reciprocal of \frac{2}{5}.

$$\frac{24x\times 5}{2}$$

Multiply 24 and 5 to get 120.

$$\frac{120x}{2}$$

Divide 120x by 2 to get 60x.

$$60x$$

Expand

$$60x$$

Solution Steps

Multiply -4.8 and -4 to get 19.2.

$$\frac{19.2x\times \frac{1\times 4+1}{4}}{\frac{2}{5}}$$

Multiply 1 and 4 to get 4.

$$\frac{19.2x\times \frac{4+1}{4}}{\frac{2}{5}}$$

Add 4 and 1 to get 5.

$$\frac{19.2x\times \frac{5}{4}}{\frac{2}{5}}$$

Convert decimal number 19.2 to fraction \frac{192}{10}. Reduce the fraction \frac{192}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{96}{5}x\times \frac{5}{4}}{\frac{2}{5}}$$

Multiply \frac{96}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{96\times 5}{5\times 4}x}{\frac{2}{5}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{96}{4}x}{\frac{2}{5}}$$

Divide 96 by 4 to get 24.

$$\frac{24x}{\frac{2}{5}}$$

Divide 24x by \frac{2}{5} by multiplying 24x by the reciprocal of \frac{2}{5}.

$$\frac{24x\times 5}{2}$$

Multiply 24 and 5 to get 120.

$$\frac{120x}{2}$$

Divide 120x by 2 to get 60x.

$$60x$$