Solve 0,018/0,04+0,34/0,017-0,35/0,05=?

$$\frac { 0,018 } { 0,04 } + \frac { 0,34 } { 0,017 } - \frac { 0,35 } { 0,05 } = ?$$

Evaluate

$$13,45$$

Solution Steps

Expand \frac{0,018}{0,04} by multiplying both numerator and the denominator by 1000.

$$\frac{18}{40}+\frac{0,34}{0,017}-\frac{0,35}{0,05}$$

Reduce the fraction \frac{18}{40} to lowest terms by extracting and canceling out 2.

$$\frac{9}{20}+\frac{0,34}{0,017}-\frac{0,35}{0,05}$$

Expand \frac{0,34}{0,017} by multiplying both numerator and the denominator by 1000.

$$\frac{9}{20}+\frac{340}{17}-\frac{0,35}{0,05}$$

Divide 340 by 17 to get 20.

$$\frac{9}{20}+20-\frac{0,35}{0,05}$$

Convert 20 to fraction \frac{400}{20}.

$$\frac{9}{20}+\frac{400}{20}-\frac{0,35}{0,05}$$

Since \frac{9}{20} and \frac{400}{20} have the same denominator, add them by adding their numerators.

$$\frac{9+400}{20}-\frac{0,35}{0,05}$$

Add 9 and 400 to get 409.

$$\frac{409}{20}-\frac{0,35}{0,05}$$

Expand \frac{0,35}{0,05} by multiplying both numerator and the denominator by 100.

$$\frac{409}{20}-\frac{35}{5}$$

Divide 35 by 5 to get 7.

$$\frac{409}{20}-7$$

Convert 7 to fraction \frac{140}{20}.

$$\frac{409}{20}-\frac{140}{20}$$

Since \frac{409}{20} and \frac{140}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{409-140}{20}$$

Subtract 140 from 409 to get 269.

$$\frac{269}{20}$$

Factor

$$\frac{269}{5 \cdot 2 ^ {2}} = 13\frac{9}{20} = 13.45$$