Solve 6/16*0,15+7/16*0,4+3/16*0,7

$$\frac { 6 } { 16 } \cdot 0,15 + \frac { 7 } { 16 } \cdot 0,4 + \frac { 3 } { 16 } \cdot 0,7$$

Evaluate

$$0,3625$$

Solution Steps

Reduce the fraction \frac{6}{16} to lowest terms by extracting and canceling out 2.

$$\frac{3}{8}\times 0,15+\frac{7}{16}\times 0,4+\frac{3}{16}\times 0,7$$

Convert decimal number 0,15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{8}\times \frac{3}{20}+\frac{7}{16}\times 0,4+\frac{3}{16}\times 0,7$$

Multiply \frac{3}{8} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{8\times 20}+\frac{7}{16}\times 0,4+\frac{3}{16}\times 0,7$$

Do the multiplications in the fraction \frac{3\times 3}{8\times 20}.

$$\frac{9}{160}+\frac{7}{16}\times 0,4+\frac{3}{16}\times 0,7$$

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.

$$\frac{9}{160}+\frac{7}{16}\times \frac{2}{5}+\frac{3}{16}\times 0,7$$

Multiply \frac{7}{16} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{160}+\frac{7\times 2}{16\times 5}+\frac{3}{16}\times 0,7$$

Do the multiplications in the fraction \frac{7\times 2}{16\times 5}.

$$\frac{9}{160}+\frac{14}{80}+\frac{3}{16}\times 0,7$$

Reduce the fraction \frac{14}{80} to lowest terms by extracting and canceling out 2.

$$\frac{9}{160}+\frac{7}{40}+\frac{3}{16}\times 0,7$$

Least common multiple of 160 and 40 is 160. Convert \frac{9}{160} and \frac{7}{40} to fractions with denominator 160.

$$\frac{9}{160}+\frac{28}{160}+\frac{3}{16}\times 0,7$$

Since \frac{9}{160} and \frac{28}{160} have the same denominator, add them by adding their numerators.

$$\frac{9+28}{160}+\frac{3}{16}\times 0,7$$

Add 9 and 28 to get 37.

$$\frac{37}{160}+\frac{3}{16}\times 0,7$$

Convert decimal number 0,7 to fraction \frac{7}{10}.

$$\frac{37}{160}+\frac{3}{16}\times \frac{7}{10}$$

Multiply \frac{3}{16} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37}{160}+\frac{3\times 7}{16\times 10}$$

Do the multiplications in the fraction \frac{3\times 7}{16\times 10}.

$$\frac{37}{160}+\frac{21}{160}$$

Since \frac{37}{160} and \frac{21}{160} have the same denominator, add them by adding their numerators.

$$\frac{37+21}{160}$$

Add 37 and 21 to get 58.

$$\frac{58}{160}$$

Reduce the fraction \frac{58}{160} to lowest terms by extracting and canceling out 2.

$$\frac{29}{80}$$

Factor

$$\frac{29}{5 \cdot 2 ^ {4}} = 0.3625$$