Solve (-3,5+2*1,45)-(-1,2:5-3,5)

$$( - 3,5 + 2 \cdot 1,45 ) - ( - 1,2 : 5 - 3,5 )$$

Evaluate

$$3,14$$

Solution Steps

Multiply 2 and 1,45 to get 2,9.

$$-3,5+2,9-\left(\frac{-1,2}{5}-3,5\right)$$

Add -3,5 and 2,9 to get -0,6.

$$-0,6-\left(\frac{-1,2}{5}-3,5\right)$$

Expand \frac{-1,2}{5} by multiplying both numerator and the denominator by 10.

$$-0,6-\left(\frac{-12}{50}-3,5\right)$$

Reduce the fraction \frac{-12}{50} to lowest terms by extracting and canceling out 2.

$$-0,6-\left(-\frac{6}{25}-3,5\right)$$

Convert decimal number 3,5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$-0,6-\left(-\frac{6}{25}-\frac{7}{2}\right)$$

Least common multiple of 25 and 2 is 50. Convert -\frac{6}{25} and \frac{7}{2} to fractions with denominator 50.

$$-0,6-\left(-\frac{12}{50}-\frac{175}{50}\right)$$

Since -\frac{12}{50} and \frac{175}{50} have the same denominator, subtract them by subtracting their numerators.

$$-0,6-\frac{-12-175}{50}$$

Subtract 175 from -12 to get -187.

$$-0,6-\left(-\frac{187}{50}\right)$$

The opposite of -\frac{187}{50} is \frac{187}{50}.

$$-0,6+\frac{187}{50}$$

Convert decimal number -0,6 to fraction -\frac{6}{10}. Reduce the fraction -\frac{6}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{5}+\frac{187}{50}$$

Least common multiple of 5 and 50 is 50. Convert -\frac{3}{5} and \frac{187}{50} to fractions with denominator 50.

$$-\frac{30}{50}+\frac{187}{50}$$

Since -\frac{30}{50} and \frac{187}{50} have the same denominator, add them by adding their numerators.

$$\frac{-30+187}{50}$$

Add -30 and 187 to get 157.

$$\frac{157}{50}$$

Factor

$$\frac{157}{2 \cdot 5 ^ {2}} = 3\frac{7}{50} = 3.14$$