Solve 1513/15+(-21,34)+142/15+(-633/50)

$$15 \frac { 13 } { 15 } + ( - 21,34 ) + 14 \frac { 2 } { 15 } + ( - 6 \frac { 33 } { 50 } )$$

Evaluate

$$2$$

Solution Steps

Multiply 15 and 15 to get 225.

$$\frac{225+13}{15}-21,34+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Add 225 and 13 to get 238.

$$\frac{238}{15}-21,34+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Convert decimal number 21,34 to fraction \frac{2134}{100}. Reduce the fraction \frac{2134}{100} to lowest terms by extracting and canceling out 2.

$$\frac{238}{15}-\frac{1067}{50}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Least common multiple of 15 and 50 is 150. Convert \frac{238}{15} and \frac{1067}{50} to fractions with denominator 150.

$$\frac{2380}{150}-\frac{3201}{150}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Since \frac{2380}{150} and \frac{3201}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2380-3201}{150}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Subtract 3201 from 2380 to get -821.

$$-\frac{821}{150}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Multiply 14 and 15 to get 210.

$$-\frac{821}{150}+\frac{210+2}{15}-\frac{6\times 50+33}{50}$$

Add 210 and 2 to get 212.

$$-\frac{821}{150}+\frac{212}{15}-\frac{6\times 50+33}{50}$$

Least common multiple of 150 and 15 is 150. Convert -\frac{821}{150} and \frac{212}{15} to fractions with denominator 150.

$$-\frac{821}{150}+\frac{2120}{150}-\frac{6\times 50+33}{50}$$

Since -\frac{821}{150} and \frac{2120}{150} have the same denominator, add them by adding their numerators.

$$\frac{-821+2120}{150}-\frac{6\times 50+33}{50}$$

Add -821 and 2120 to get 1299.

$$\frac{1299}{150}-\frac{6\times 50+33}{50}$$

Reduce the fraction \frac{1299}{150} to lowest terms by extracting and canceling out 3.

$$\frac{433}{50}-\frac{6\times 50+33}{50}$$

Multiply 6 and 50 to get 300.

$$\frac{433}{50}-\frac{300+33}{50}$$

Add 300 and 33 to get 333.

$$\frac{433}{50}-\frac{333}{50}$$

Since \frac{433}{50} and \frac{333}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{433-333}{50}$$

Subtract 333 from 433 to get 100.

$$\frac{100}{50}$$

Divide 100 by 50 to get 2.

$$2$$

Factor

$$2$$