Solve 5/6*(1.25x+3.75y)

$$\frac{ 5 }{ 6 } \times (1.25x+3.75y)$$

Evaluate

$$\frac{25\left(x+3y\right)}{24}$$

Solution Steps

Use the distributive property to multiply \frac{5}{6} by 1.25x+3.75y.

$$\frac{5}{6}\times 1.25x+\frac{5}{6}\times 3.75y$$

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.

$$\frac{5}{6}\times \frac{5}{4}x+\frac{5}{6}\times 3.75y$$

Multiply \frac{5}{6} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 5}{6\times 4}x+\frac{5}{6}\times 3.75y$$

Do the multiplications in the fraction \frac{5\times 5}{6\times 4}.

$$\frac{25}{24}x+\frac{5}{6}\times 3.75y$$

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.

$$\frac{25}{24}x+\frac{5}{6}\times \frac{15}{4}y$$

Multiply \frac{5}{6} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25}{24}x+\frac{5\times 15}{6\times 4}y$$

Do the multiplications in the fraction \frac{5\times 15}{6\times 4}.

$$\frac{25}{24}x+\frac{75}{24}y$$

Reduce the fraction \frac{75}{24} to lowest terms by extracting and canceling out 3.

$$\frac{25}{24}x+\frac{25}{8}y$$

Expand

$$\frac{25x}{24}+\frac{25y}{8}$$

Solution Steps

Use the distributive property to multiply \frac{5}{6} by 1.25x+3.75y.

$$\frac{5}{6}\times 1.25x+\frac{5}{6}\times 3.75y$$

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.

$$\frac{5}{6}\times \frac{5}{4}x+\frac{5}{6}\times 3.75y$$

Multiply \frac{5}{6} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 5}{6\times 4}x+\frac{5}{6}\times 3.75y$$

Do the multiplications in the fraction \frac{5\times 5}{6\times 4}.

$$\frac{25}{24}x+\frac{5}{6}\times 3.75y$$

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.

$$\frac{25}{24}x+\frac{5}{6}\times \frac{15}{4}y$$

Multiply \frac{5}{6} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25}{24}x+\frac{5\times 15}{6\times 4}y$$

Do the multiplications in the fraction \frac{5\times 15}{6\times 4}.

$$\frac{25}{24}x+\frac{75}{24}y$$

Reduce the fraction \frac{75}{24} to lowest terms by extracting and canceling out 3.

$$\frac{25}{24}x+\frac{25}{8}y$$