Solve 10.89+1/3-10-0.03+2

$$10.89+ \frac{ 1 }{ 3 } -10-0.03+2$$

Evaluate

$$\frac{479}{150}\approx 3.193333333$$

Solution Steps

Convert decimal number 10.89 to fraction \frac{1089}{100}.

$$\frac{1089}{100}+\frac{1}{3}-10-0.03+2$$

Least common multiple of 100 and 3 is 300. Convert \frac{1089}{100} and \frac{1}{3} to fractions with denominator 300.

$$\frac{3267}{300}+\frac{100}{300}-10-0.03+2$$

Since \frac{3267}{300} and \frac{100}{300} have the same denominator, add them by adding their numerators.

$$\frac{3267+100}{300}-10-0.03+2$$

Add 3267 and 100 to get 3367.

$$\frac{3367}{300}-10-0.03+2$$

Convert 10 to fraction \frac{3000}{300}.

$$\frac{3367}{300}-\frac{3000}{300}-0.03+2$$

Since \frac{3367}{300} and \frac{3000}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3367-3000}{300}-0.03+2$$

Subtract 3000 from 3367 to get 367.

$$\frac{367}{300}-0.03+2$$

Convert decimal number 0.03 to fraction \frac{3}{100}.

$$\frac{367}{300}-\frac{3}{100}+2$$

Least common multiple of 300 and 100 is 300. Convert \frac{367}{300} and \frac{3}{100} to fractions with denominator 300.

$$\frac{367}{300}-\frac{9}{300}+2$$

Since \frac{367}{300} and \frac{9}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{367-9}{300}+2$$

Subtract 9 from 367 to get 358.

$$\frac{358}{300}+2$$

Reduce the fraction \frac{358}{300} to lowest terms by extracting and canceling out 2.

$$\frac{179}{150}+2$$

Convert 2 to fraction \frac{300}{150}.

$$\frac{179}{150}+\frac{300}{150}$$

Since \frac{179}{150} and \frac{300}{150} have the same denominator, add them by adding their numerators.

$$\frac{179+300}{150}$$

Add 179 and 300 to get 479.

$$\frac{479}{150}$$

Factor

$$\frac{479}{2 \cdot 3 \cdot 5 ^ {2}} = 3\frac{29}{150} = 3.1933333333333334$$