Solve 2/9+0,5-0,1:1/7=

$$\frac { 2 } { 9 } + 0,5 - 0,1 : \frac { 1 } { 7 } =$$

Evaluate

$$\frac{1}{45}\approx 0,022222222$$

Solution Steps

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{2}{9}+\frac{1}{2}-\frac{0,1}{\frac{1}{7}}$$

Least common multiple of 9 and 2 is 18. Convert \frac{2}{9} and \frac{1}{2} to fractions with denominator 18.

$$\frac{4}{18}+\frac{9}{18}-\frac{0,1}{\frac{1}{7}}$$

Since \frac{4}{18} and \frac{9}{18} have the same denominator, add them by adding their numerators.

$$\frac{4+9}{18}-\frac{0,1}{\frac{1}{7}}$$

Add 4 and 9 to get 13.

$$\frac{13}{18}-\frac{0,1}{\frac{1}{7}}$$

Divide 0,1 by \frac{1}{7} by multiplying 0,1 by the reciprocal of \frac{1}{7}.

$$\frac{13}{18}-0,1\times 7$$

Multiply 0,1 and 7 to get 0,7.

$$\frac{13}{18}-0,7$$

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

$$\frac{13}{18}-\frac{7}{10}$$

Least common multiple of 18 and 10 is 90. Convert \frac{13}{18} and \frac{7}{10} to fractions with denominator 90.

$$\frac{65}{90}-\frac{63}{90}$$

Since \frac{65}{90} and \frac{63}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-63}{90}$$

Subtract 63 from 65 to get 2.

$$\frac{2}{90}$$

Reduce the fraction \frac{2}{90} to lowest terms by extracting and canceling out 2.

$$\frac{1}{45}$$

Factor

$$\frac{1}{5 \cdot 3 ^ {2}} = 0.022222222222222223$$