Solve (2/5-0,3)*1,25+1/200*0,8*7/10=

$$( \frac { 2 } { 5 } - 0,3 ) \cdot 1,25 + \frac { 1 } { 200 } \cdot 0,8 \cdot \frac { 7 } { 10 } =$$

Evaluate

$$0,1278$$

Solution Steps

Convert decimal number 0,3 to fraction \frac{3}{10}.

$$\left(\frac{2}{5}-\frac{3}{10}\right)\times 1,25+\frac{1}{200}\times 0,8\times \frac{7}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{3}{10} to fractions with denominator 10.

$$\left(\frac{4}{10}-\frac{3}{10}\right)\times 1,25+\frac{1}{200}\times 0,8\times \frac{7}{10}$$

Since \frac{4}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{10}\times 1,25+\frac{1}{200}\times 0,8\times \frac{7}{10}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{10}\times 1,25+\frac{1}{200}\times 0,8\times \frac{7}{10}$$

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.

$$\frac{1}{10}\times \frac{5}{4}+\frac{1}{200}\times 0,8\times \frac{7}{10}$$

Multiply \frac{1}{10} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{10\times 4}+\frac{1}{200}\times 0,8\times \frac{7}{10}$$

Do the multiplications in the fraction \frac{1\times 5}{10\times 4}.

$$\frac{5}{40}+\frac{1}{200}\times 0,8\times \frac{7}{10}$$

Reduce the fraction \frac{5}{40} to lowest terms by extracting and canceling out 5.

$$\frac{1}{8}+\frac{1}{200}\times 0,8\times \frac{7}{10}$$

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.

$$\frac{1}{8}+\frac{1}{200}\times \frac{4}{5}\times \frac{7}{10}$$

Multiply \frac{1}{200} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{8}+\frac{1\times 4}{200\times 5}\times \frac{7}{10}$$

Do the multiplications in the fraction \frac{1\times 4}{200\times 5}.

$$\frac{1}{8}+\frac{4}{1000}\times \frac{7}{10}$$

Reduce the fraction \frac{4}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{8}+\frac{1}{250}\times \frac{7}{10}$$

Multiply \frac{1}{250} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{8}+\frac{1\times 7}{250\times 10}$$

Do the multiplications in the fraction \frac{1\times 7}{250\times 10}.

$$\frac{1}{8}+\frac{7}{2500}$$

Least common multiple of 8 and 2500 is 5000. Convert \frac{1}{8} and \frac{7}{2500} to fractions with denominator 5000.

$$\frac{625}{5000}+\frac{14}{5000}$$

Since \frac{625}{5000} and \frac{14}{5000} have the same denominator, add them by adding their numerators.

$$\frac{625+14}{5000}$$

Add 625 and 14 to get 639.

$$\frac{639}{5000}$$

Factor

$$\frac{71 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {4}} = 0.1278$$