Solve 5div8*0.678+3div8*1.425=

$$5 \div 8 \times 0.678+3 \div 8 \times 1.425=$$

Evaluate

$$0.958125$$

Solution Steps

Convert decimal number 0.678 to fraction \frac{678}{1000}. Reduce the fraction \frac{678}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{5}{8}\times \frac{339}{500}+\frac{3}{8}\times 1.425$$

Multiply \frac{5}{8} times \frac{339}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 339}{8\times 500}+\frac{3}{8}\times 1.425$$

Do the multiplications in the fraction \frac{5\times 339}{8\times 500}.

$$\frac{1695}{4000}+\frac{3}{8}\times 1.425$$

Reduce the fraction \frac{1695}{4000} to lowest terms by extracting and canceling out 5.

$$\frac{339}{800}+\frac{3}{8}\times 1.425$$

Convert decimal number 1.425 to fraction \frac{1425}{1000}. Reduce the fraction \frac{1425}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{339}{800}+\frac{3}{8}\times \frac{57}{40}$$

Multiply \frac{3}{8} times \frac{57}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{339}{800}+\frac{3\times 57}{8\times 40}$$

Do the multiplications in the fraction \frac{3\times 57}{8\times 40}.

$$\frac{339}{800}+\frac{171}{320}$$

Least common multiple of 800 and 320 is 1600. Convert \frac{339}{800} and \frac{171}{320} to fractions with denominator 1600.

$$\frac{678}{1600}+\frac{855}{1600}$$

Since \frac{678}{1600} and \frac{855}{1600} have the same denominator, add them by adding their numerators.

$$\frac{678+855}{1600}$$

Add 678 and 855 to get 1533.

$$\frac{1533}{1600}$$

Factor

$$\frac{3 \cdot 7 \cdot 73}{2 ^ {6} \cdot 5 ^ {2}} = 0.958125$$