Solve -411/15-6,37-2,75-24/15+14,37

$$- 4 \frac { 11 } { 15 } - 6,37 - 2,75 - 2 \frac { 4 } { 15 } + 14,37$$

Evaluate

$$-1,75$$

Solution Steps

Multiply 4 and 15 to get 60.

$$-\frac{60+11}{15}-6,37-2,75-\frac{2\times 15+4}{15}+14,37$$

Add 60 and 11 to get 71.

$$-\frac{71}{15}-6,37-2,75-\frac{2\times 15+4}{15}+14,37$$

Convert decimal number 6,37 to fraction \frac{637}{100}.

$$-\frac{71}{15}-\frac{637}{100}-2,75-\frac{2\times 15+4}{15}+14,37$$

Least common multiple of 15 and 100 is 300. Convert -\frac{71}{15} and \frac{637}{100} to fractions with denominator 300.

$$-\frac{1420}{300}-\frac{1911}{300}-2,75-\frac{2\times 15+4}{15}+14,37$$

Since -\frac{1420}{300} and \frac{1911}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1420-1911}{300}-2,75-\frac{2\times 15+4}{15}+14,37$$

Subtract 1911 from -1420 to get -3331.

$$-\frac{3331}{300}-2,75-\frac{2\times 15+4}{15}+14,37$$

Convert decimal number 2,75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{3331}{300}-\frac{11}{4}-\frac{2\times 15+4}{15}+14,37$$

Least common multiple of 300 and 4 is 300. Convert -\frac{3331}{300} and \frac{11}{4} to fractions with denominator 300.

$$-\frac{3331}{300}-\frac{825}{300}-\frac{2\times 15+4}{15}+14,37$$

Since -\frac{3331}{300} and \frac{825}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3331-825}{300}-\frac{2\times 15+4}{15}+14,37$$

Subtract 825 from -3331 to get -4156.

$$\frac{-4156}{300}-\frac{2\times 15+4}{15}+14,37$$

Reduce the fraction \frac{-4156}{300} to lowest terms by extracting and canceling out 4.

$$-\frac{1039}{75}-\frac{2\times 15+4}{15}+14,37$$

Multiply 2 and 15 to get 30.

$$-\frac{1039}{75}-\frac{30+4}{15}+14,37$$

Add 30 and 4 to get 34.

$$-\frac{1039}{75}-\frac{34}{15}+14,37$$

Least common multiple of 75 and 15 is 75. Convert -\frac{1039}{75} and \frac{34}{15} to fractions with denominator 75.

$$-\frac{1039}{75}-\frac{170}{75}+14,37$$

Since -\frac{1039}{75} and \frac{170}{75} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1039-170}{75}+14,37$$

Subtract 170 from -1039 to get -1209.

$$\frac{-1209}{75}+14,37$$

Reduce the fraction \frac{-1209}{75} to lowest terms by extracting and canceling out 3.

$$-\frac{403}{25}+14,37$$

Convert decimal number 14,37 to fraction \frac{1437}{100}.

$$-\frac{403}{25}+\frac{1437}{100}$$

Least common multiple of 25 and 100 is 100. Convert -\frac{403}{25} and \frac{1437}{100} to fractions with denominator 100.

$$-\frac{1612}{100}+\frac{1437}{100}$$

Since -\frac{1612}{100} and \frac{1437}{100} have the same denominator, add them by adding their numerators.

$$\frac{-1612+1437}{100}$$

Add -1612 and 1437 to get -175.

$$\frac{-175}{100}$$

Reduce the fraction \frac{-175}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{7}{4}$$

Factor

$$-1,75$$