Solve 23/20-143/22+0,7-2,77

$$2 \frac { 3 } { 20 } - 14 \frac { 3 } { 22 } + 0,7 - 2,77$$

Evaluate

$$-\frac{7731}{550}\approx -14,056363636$$

Solution Steps

Multiply 2 and 20 to get 40.

$$\frac{40+3}{20}-\frac{14\times 22+3}{22}+0,7-2,77$$

Add 40 and 3 to get 43.

$$\frac{43}{20}-\frac{14\times 22+3}{22}+0,7-2,77$$

Multiply 14 and 22 to get 308.

$$\frac{43}{20}-\frac{308+3}{22}+0,7-2,77$$

Add 308 and 3 to get 311.

$$\frac{43}{20}-\frac{311}{22}+0,7-2,77$$

Least common multiple of 20 and 22 is 220. Convert \frac{43}{20} and \frac{311}{22} to fractions with denominator 220.

$$\frac{473}{220}-\frac{3110}{220}+0,7-2,77$$

Since \frac{473}{220} and \frac{3110}{220} have the same denominator, subtract them by subtracting their numerators.

$$\frac{473-3110}{220}+0,7-2,77$$

Subtract 3110 from 473 to get -2637.

$$-\frac{2637}{220}+0,7-2,77$$

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

$$-\frac{2637}{220}+\frac{7}{10}-2,77$$

Least common multiple of 220 and 10 is 220. Convert -\frac{2637}{220} and \frac{7}{10} to fractions with denominator 220.

$$-\frac{2637}{220}+\frac{154}{220}-2,77$$

Since -\frac{2637}{220} and \frac{154}{220} have the same denominator, add them by adding their numerators.

$$\frac{-2637+154}{220}-2,77$$

Add -2637 and 154 to get -2483.

$$-\frac{2483}{220}-2,77$$

Convert decimal number 2,77 to fraction \frac{277}{100}.

$$-\frac{2483}{220}-\frac{277}{100}$$

Least common multiple of 220 and 100 is 1100. Convert -\frac{2483}{220} and \frac{277}{100} to fractions with denominator 1100.

$$-\frac{12415}{1100}-\frac{3047}{1100}$$

Since -\frac{12415}{1100} and \frac{3047}{1100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12415-3047}{1100}$$

Subtract 3047 from -12415 to get -15462.

$$\frac{-15462}{1100}$$

Reduce the fraction \frac{-15462}{1100} to lowest terms by extracting and canceling out 2.

$$-\frac{7731}{550}$$

Factor

$$-\frac{7731}{550} = -14\frac{31}{550} = -14.056363636363637$$