Solve 0.10*44/50+0.10*44/50+0.80*7.5/20=

$$0.10 \times \frac{ 44 }{ 50 } +0.10 \times \frac{ 44 }{ 50 } +0.80 \times \frac{ 7.5 }{ 20 } =$$

Evaluate

$$0.476$$

Solution Steps

Reduce the fraction \frac{44}{50} to lowest terms by extracting and canceling out 2.

$$0.1\times \frac{22}{25}+0.1\times \frac{44}{50}+0.8\times \frac{7.5}{20}$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{1}{10}\times \frac{22}{25}+0.1\times \frac{44}{50}+0.8\times \frac{7.5}{20}$$

Multiply \frac{1}{10} times \frac{22}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{10\times 25}+0.1\times \frac{44}{50}+0.8\times \frac{7.5}{20}$$

Do the multiplications in the fraction \frac{1\times 22}{10\times 25}.

$$\frac{22}{250}+0.1\times \frac{44}{50}+0.8\times \frac{7.5}{20}$$

Reduce the fraction \frac{22}{250} to lowest terms by extracting and canceling out 2.

$$\frac{11}{125}+0.1\times \frac{44}{50}+0.8\times \frac{7.5}{20}$$

Reduce the fraction \frac{44}{50} to lowest terms by extracting and canceling out 2.

$$\frac{11}{125}+0.1\times \frac{22}{25}+0.8\times \frac{7.5}{20}$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{11}{125}+\frac{1}{10}\times \frac{22}{25}+0.8\times \frac{7.5}{20}$$

Multiply \frac{1}{10} times \frac{22}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11}{125}+\frac{1\times 22}{10\times 25}+0.8\times \frac{7.5}{20}$$

Do the multiplications in the fraction \frac{1\times 22}{10\times 25}.

$$\frac{11}{125}+\frac{22}{250}+0.8\times \frac{7.5}{20}$$

Reduce the fraction \frac{22}{250} to lowest terms by extracting and canceling out 2.

$$\frac{11}{125}+\frac{11}{125}+0.8\times \frac{7.5}{20}$$

Since \frac{11}{125} and \frac{11}{125} have the same denominator, add them by adding their numerators.

$$\frac{11+11}{125}+0.8\times \frac{7.5}{20}$$

Add 11 and 11 to get 22.

$$\frac{22}{125}+0.8\times \frac{7.5}{20}$$

Expand \frac{7.5}{20} by multiplying both numerator and the denominator by 10.

$$\frac{22}{125}+0.8\times \frac{75}{200}$$

Reduce the fraction \frac{75}{200} to lowest terms by extracting and canceling out 25.

$$\frac{22}{125}+0.8\times \frac{3}{8}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{22}{125}+\frac{4}{5}\times \frac{3}{8}$$

Multiply \frac{4}{5} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22}{125}+\frac{4\times 3}{5\times 8}$$

Do the multiplications in the fraction \frac{4\times 3}{5\times 8}.

$$\frac{22}{125}+\frac{12}{40}$$

Reduce the fraction \frac{12}{40} to lowest terms by extracting and canceling out 4.

$$\frac{22}{125}+\frac{3}{10}$$

Least common multiple of 125 and 10 is 250. Convert \frac{22}{125} and \frac{3}{10} to fractions with denominator 250.

$$\frac{44}{250}+\frac{75}{250}$$

Since \frac{44}{250} and \frac{75}{250} have the same denominator, add them by adding their numerators.

$$\frac{44+75}{250}$$

Add 44 and 75 to get 119.

$$\frac{119}{250}$$

Factor

$$\frac{7 \cdot 17}{2 \cdot 5 ^ {3}} = 0.476$$