Solve 0.94-3/5(0.971)-2/5(0.627)

$$0.94 - \frac { 3 } { 5 } ( 0.971 ) - \frac { 2 } { 5 } ( 0.627 )$$

Evaluate

$$0.1066$$

Solution Steps

Convert decimal number 0.971 to fraction \frac{971}{1000}.

$$0.94-\frac{3}{5}\times \frac{971}{1000}-\frac{2}{5}\times 0.627$$

Multiply \frac{3}{5} times \frac{971}{1000} by multiplying numerator times numerator and denominator times denominator.

$$0.94-\frac{3\times 971}{5\times 1000}-\frac{2}{5}\times 0.627$$

Do the multiplications in the fraction \frac{3\times 971}{5\times 1000}.

$$0.94-\frac{2913}{5000}-\frac{2}{5}\times 0.627$$

Convert decimal number 0.94 to fraction \frac{94}{100}. Reduce the fraction \frac{94}{100} to lowest terms by extracting and canceling out 2.

$$\frac{47}{50}-\frac{2913}{5000}-\frac{2}{5}\times 0.627$$

Least common multiple of 50 and 5000 is 5000. Convert \frac{47}{50} and \frac{2913}{5000} to fractions with denominator 5000.

$$\frac{4700}{5000}-\frac{2913}{5000}-\frac{2}{5}\times 0.627$$

Since \frac{4700}{5000} and \frac{2913}{5000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4700-2913}{5000}-\frac{2}{5}\times 0.627$$

Subtract 2913 from 4700 to get 1787.

$$\frac{1787}{5000}-\frac{2}{5}\times 0.627$$

Convert decimal number 0.627 to fraction \frac{627}{1000}.

$$\frac{1787}{5000}-\frac{2}{5}\times \frac{627}{1000}$$

Multiply \frac{2}{5} times \frac{627}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1787}{5000}-\frac{2\times 627}{5\times 1000}$$

Do the multiplications in the fraction \frac{2\times 627}{5\times 1000}.

$$\frac{1787}{5000}-\frac{1254}{5000}$$

Since \frac{1787}{5000} and \frac{1254}{5000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1787-1254}{5000}$$

Subtract 1254 from 1787 to get 533.

$$\frac{533}{5000}$$

Factor

$$\frac{13 \cdot 41}{2 ^ {3} \cdot 5 ^ {4}} = 0.1066$$