Solve 10div50*1div3+15div50*1div7+25div50*1div5=

$$10 \div 50 \times 1 \div 3+15 \div 50 \times 1 \div 7+25 \div 50 \times 1 \div 5=$$

Evaluate

$$\frac{22}{105}\approx 0.20952381$$

Solution Steps

Reduce the fraction \frac{10}{50} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{1}{5}\times 1}{3}+\frac{\frac{15}{50}\times 1}{7}+\frac{\frac{25}{50}\times 1}{5}$$

Multiply \frac{1}{5} and 1 to get \frac{1}{5}.

$$\frac{\frac{1}{5}}{3}+\frac{\frac{15}{50}\times 1}{7}+\frac{\frac{25}{50}\times 1}{5}$$

Express \frac{\frac{1}{5}}{3} as a single fraction.

$$\frac{1}{5\times 3}+\frac{\frac{15}{50}\times 1}{7}+\frac{\frac{25}{50}\times 1}{5}$$

Multiply 5 and 3 to get 15.

$$\frac{1}{15}+\frac{\frac{15}{50}\times 1}{7}+\frac{\frac{25}{50}\times 1}{5}$$

Reduce the fraction \frac{15}{50} to lowest terms by extracting and canceling out 5.

$$\frac{1}{15}+\frac{\frac{3}{10}\times 1}{7}+\frac{\frac{25}{50}\times 1}{5}$$

Multiply \frac{3}{10} and 1 to get \frac{3}{10}.

$$\frac{1}{15}+\frac{\frac{3}{10}}{7}+\frac{\frac{25}{50}\times 1}{5}$$

Express \frac{\frac{3}{10}}{7} as a single fraction.

$$\frac{1}{15}+\frac{3}{10\times 7}+\frac{\frac{25}{50}\times 1}{5}$$

Multiply 10 and 7 to get 70.

$$\frac{1}{15}+\frac{3}{70}+\frac{\frac{25}{50}\times 1}{5}$$

Least common multiple of 15 and 70 is 210. Convert \frac{1}{15} and \frac{3}{70} to fractions with denominator 210.

$$\frac{14}{210}+\frac{9}{210}+\frac{\frac{25}{50}\times 1}{5}$$

Since \frac{14}{210} and \frac{9}{210} have the same denominator, add them by adding their numerators.

$$\frac{14+9}{210}+\frac{\frac{25}{50}\times 1}{5}$$

Add 14 and 9 to get 23.

$$\frac{23}{210}+\frac{\frac{25}{50}\times 1}{5}$$

Reduce the fraction \frac{25}{50} to lowest terms by extracting and canceling out 25.

$$\frac{23}{210}+\frac{\frac{1}{2}\times 1}{5}$$

Multiply \frac{1}{2} and 1 to get \frac{1}{2}.

$$\frac{23}{210}+\frac{\frac{1}{2}}{5}$$

Express \frac{\frac{1}{2}}{5} as a single fraction.

$$\frac{23}{210}+\frac{1}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{23}{210}+\frac{1}{10}$$

Least common multiple of 210 and 10 is 210. Convert \frac{23}{210} and \frac{1}{10} to fractions with denominator 210.

$$\frac{23}{210}+\frac{21}{210}$$

Since \frac{23}{210} and \frac{21}{210} have the same denominator, add them by adding their numerators.

$$\frac{23+21}{210}$$

Add 23 and 21 to get 44.

$$\frac{44}{210}$$

Reduce the fraction \frac{44}{210} to lowest terms by extracting and canceling out 2.

$$\frac{22}{105}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 5 \cdot 7} = 0.20952380952380953$$