Solve 5/10*0.8*1.4+8/16*0.4*10.5

$$\frac { 5 } { 10 } \times 0.8 \times 1.4 + \frac { 8 } { 16 } \times 0.4 \times 10.5$$

Evaluate

$$2.66$$

Solution Steps

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times 0.8\times 1.4+\frac{8}{16}\times 0.4\times 10.5$$

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.

$$\frac{1}{2}\times \frac{4}{5}\times 1.4+\frac{8}{16}\times 0.4\times 10.5$$

Multiply \frac{1}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 5}\times 1.4+\frac{8}{16}\times 0.4\times 10.5$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 5}.

$$\frac{4}{10}\times 1.4+\frac{8}{16}\times 0.4\times 10.5$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times 1.4+\frac{8}{16}\times 0.4\times 10.5$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{7}{5}+\frac{8}{16}\times 0.4\times 10.5$$

Multiply \frac{2}{5} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 7}{5\times 5}+\frac{8}{16}\times 0.4\times 10.5$$

Do the multiplications in the fraction \frac{2\times 7}{5\times 5}.

$$\frac{14}{25}+\frac{8}{16}\times 0.4\times 10.5$$

Reduce the fraction \frac{8}{16} to lowest terms by extracting and canceling out 8.

$$\frac{14}{25}+\frac{1}{2}\times 0.4\times 10.5$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{25}+\frac{1}{2}\times \frac{2}{5}\times 10.5$$

Multiply \frac{1}{2} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14}{25}+\frac{1\times 2}{2\times 5}\times 10.5$$

Cancel out 2 in both numerator and denominator.

$$\frac{14}{25}+\frac{1}{5}\times 10.5$$

Convert decimal number 10.5 to fraction \frac{105}{10}. Reduce the fraction \frac{105}{10} to lowest terms by extracting and canceling out 5.

$$\frac{14}{25}+\frac{1}{5}\times \frac{21}{2}$$

Multiply \frac{1}{5} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14}{25}+\frac{1\times 21}{5\times 2}$$

Do the multiplications in the fraction \frac{1\times 21}{5\times 2}.

$$\frac{14}{25}+\frac{21}{10}$$

Least common multiple of 25 and 10 is 50. Convert \frac{14}{25} and \frac{21}{10} to fractions with denominator 50.

$$\frac{28}{50}+\frac{105}{50}$$

Since \frac{28}{50} and \frac{105}{50} have the same denominator, add them by adding their numerators.

$$\frac{28+105}{50}$$

Add 28 and 105 to get 133.

$$\frac{133}{50}$$

Factor

$$\frac{7 \cdot 19}{2 \cdot 5 ^ {2}} = 2\frac{33}{50} = 2.66$$