Solve 4/5*(1.25x+3.75y)

$$\frac{ 4 }{ 5 } \times (1.25x+3.75y)$$

Evaluate

$$x+3y$$

Solution Steps

Use the distributive property to multiply \frac{4}{5} by 1.25x+3.75y.

$$\frac{4}{5}\times 1.25x+\frac{4}{5}\times 3.75y$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{4}{5}\times \frac{5}{4}x+\frac{4}{5}\times 3.75y$$

Cancel out \frac{4}{5} and its reciprocal \frac{5}{4}.

$$x+\frac{4}{5}\times 3.75y$$

Convert decimal number 3.75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$x+\frac{4}{5}\times \frac{15}{4}y$$

Multiply \frac{4}{5} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$x+\frac{4\times 15}{5\times 4}y$$

Cancel out 4 in both numerator and denominator.

$$x+\frac{15}{5}y$$

Divide 15 by 5 to get 3.

$$x+3y$$

Expand

$$x+3y$$

Solution Steps

Use the distributive property to multiply \frac{4}{5} by 1.25x+3.75y.

$$\frac{4}{5}\times 1.25x+\frac{4}{5}\times 3.75y$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{4}{5}\times \frac{5}{4}x+\frac{4}{5}\times 3.75y$$

Cancel out \frac{4}{5} and its reciprocal \frac{5}{4}.

$$x+\frac{4}{5}\times 3.75y$$

Convert decimal number 3.75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$x+\frac{4}{5}\times \frac{15}{4}y$$

Multiply \frac{4}{5} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$x+\frac{4\times 15}{5\times 4}y$$

Cancel out 4 in both numerator and denominator.

$$x+\frac{15}{5}y$$

Divide 15 by 5 to get 3.

$$x+3y$$