Solve 71513/15+(-21,34)+142/15+(-633/50)

$$715 \frac { 13 } { 15 } + ( - 21,34 ) + 14 \frac { 2 } { 15 } + ( - 6 \frac { 33 } { 50 } )$$

Evaluate

$$702$$

Solution Steps

Multiply 715 and 15 to get 10725.

$$\frac{10725+13}{15}-21,34+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Add 10725 and 13 to get 10738.

$$\frac{10738}{15}-21,34+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

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.

$$\frac{10738}{15}-\frac{1067}{50}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Least common multiple of 15 and 50 is 150. Convert \frac{10738}{15} and \frac{1067}{50} to fractions with denominator 150.

$$\frac{107380}{150}-\frac{3201}{150}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Since \frac{107380}{150} and \frac{3201}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{107380-3201}{150}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Subtract 3201 from 107380 to get 104179.

$$\frac{104179}{150}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Multiply 14 and 15 to get 210.

$$\frac{104179}{150}+\frac{210+2}{15}-\frac{6\times 50+33}{50}$$

Add 210 and 2 to get 212.

$$\frac{104179}{150}+\frac{212}{15}-\frac{6\times 50+33}{50}$$

Least common multiple of 150 and 15 is 150. Convert \frac{104179}{150} and \frac{212}{15} to fractions with denominator 150.

$$\frac{104179}{150}+\frac{2120}{150}-\frac{6\times 50+33}{50}$$

Since \frac{104179}{150} and \frac{2120}{150} have the same denominator, add them by adding their numerators.

$$\frac{104179+2120}{150}-\frac{6\times 50+33}{50}$$

Add 104179 and 2120 to get 106299.

$$\frac{106299}{150}-\frac{6\times 50+33}{50}$$

Reduce the fraction \frac{106299}{150} to lowest terms by extracting and canceling out 3.

$$\frac{35433}{50}-\frac{6\times 50+33}{50}$$

Multiply 6 and 50 to get 300.

$$\frac{35433}{50}-\frac{300+33}{50}$$

Add 300 and 33 to get 333.

$$\frac{35433}{50}-\frac{333}{50}$$

Since \frac{35433}{50} and \frac{333}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35433-333}{50}$$

Subtract 333 from 35433 to get 35100.

$$\frac{35100}{50}$$

Divide 35100 by 50 to get 702.

$$702$$

Factor

$$2\times 13\times 3^{3}$$