Solve 4,9-73/10-83/4-(-8,2)

$$4,9 - 7 \frac { 3 } { 10 } - 8 \frac { 3 } { 4 } - ( - 8,2 )$$

Evaluate

$$-2,95$$

Solution Steps

Multiply 7 and 10 to get 70.

$$4,9-\frac{70+3}{10}-\frac{8\times 4+3}{4}-\left(-8,2\right)$$

Add 70 and 3 to get 73.

$$4,9-\frac{73}{10}-\frac{8\times 4+3}{4}-\left(-8,2\right)$$

Convert decimal number 4,9 to fraction \frac{49}{10}.

$$\frac{49}{10}-\frac{73}{10}-\frac{8\times 4+3}{4}-\left(-8,2\right)$$

Since \frac{49}{10} and \frac{73}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-73}{10}-\frac{8\times 4+3}{4}-\left(-8,2\right)$$

Subtract 73 from 49 to get -24.

$$\frac{-24}{10}-\frac{8\times 4+3}{4}-\left(-8,2\right)$$

Reduce the fraction \frac{-24}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{12}{5}-\frac{8\times 4+3}{4}-\left(-8,2\right)$$

Multiply 8 and 4 to get 32.

$$-\frac{12}{5}-\frac{32+3}{4}-\left(-8,2\right)$$

Add 32 and 3 to get 35.

$$-\frac{12}{5}-\frac{35}{4}-\left(-8,2\right)$$

Least common multiple of 5 and 4 is 20. Convert -\frac{12}{5} and \frac{35}{4} to fractions with denominator 20.

$$-\frac{48}{20}-\frac{175}{20}-\left(-8,2\right)$$

Since -\frac{48}{20} and \frac{175}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-48-175}{20}-\left(-8,2\right)$$

Subtract 175 from -48 to get -223.

$$-\frac{223}{20}-\left(-8,2\right)$$

The opposite of -8,2 is 8,2.

$$-\frac{223}{20}+8,2$$

Convert decimal number 8,2 to fraction \frac{82}{10}. Reduce the fraction \frac{82}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{223}{20}+\frac{41}{5}$$

Least common multiple of 20 and 5 is 20. Convert -\frac{223}{20} and \frac{41}{5} to fractions with denominator 20.

$$-\frac{223}{20}+\frac{164}{20}$$

Since -\frac{223}{20} and \frac{164}{20} have the same denominator, add them by adding their numerators.

$$\frac{-223+164}{20}$$

Add -223 and 164 to get -59.

$$-\frac{59}{20}$$

Factor

$$-2,95$$