Solve 0.48*(-13.65)+4.65:0.75-3.75-4.9*14.35

$$0.48 \cdot ( - 13.65 ) + 4.65 : 0.75 - 3.75 - 4.9 \cdot 14.35$$

Evaluate

$$-74.417$$

Solution Steps

Multiply 0.48 and -13.65 to get -6.552.

$$-6.552+\frac{4.65}{0.75}-3.75-4.9\times 14.35$$

Expand \frac{4.65}{0.75} by multiplying both numerator and the denominator by 100.

$$-6.552+\frac{465}{75}-3.75-4.9\times 14.35$$

Reduce the fraction \frac{465}{75} to lowest terms by extracting and canceling out 15.

$$-6.552+\frac{31}{5}-3.75-4.9\times 14.35$$

Convert decimal number -6.552 to fraction -\frac{6552}{1000}. Reduce the fraction -\frac{6552}{1000} to lowest terms by extracting and canceling out 8.

$$-\frac{819}{125}+\frac{31}{5}-3.75-4.9\times 14.35$$

Least common multiple of 125 and 5 is 125. Convert -\frac{819}{125} and \frac{31}{5} to fractions with denominator 125.

$$-\frac{819}{125}+\frac{775}{125}-3.75-4.9\times 14.35$$

Since -\frac{819}{125} and \frac{775}{125} have the same denominator, add them by adding their numerators.

$$\frac{-819+775}{125}-3.75-4.9\times 14.35$$

Add -819 and 775 to get -44.

$$-\frac{44}{125}-3.75-4.9\times 14.35$$

Convert decimal number 3.75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{44}{125}-\frac{15}{4}-4.9\times 14.35$$

Least common multiple of 125 and 4 is 500. Convert -\frac{44}{125} and \frac{15}{4} to fractions with denominator 500.

$$-\frac{176}{500}-\frac{1875}{500}-4.9\times 14.35$$

Since -\frac{176}{500} and \frac{1875}{500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-176-1875}{500}-4.9\times 14.35$$

Subtract 1875 from -176 to get -2051.

$$-\frac{2051}{500}-4.9\times 14.35$$

Multiply 4.9 and 14.35 to get 70.315.

$$-\frac{2051}{500}-70.315$$

Convert decimal number 70.315 to fraction \frac{70315}{1000}. Reduce the fraction \frac{70315}{1000} to lowest terms by extracting and canceling out 5.

$$-\frac{2051}{500}-\frac{14063}{200}$$

Least common multiple of 500 and 200 is 1000. Convert -\frac{2051}{500} and \frac{14063}{200} to fractions with denominator 1000.

$$-\frac{4102}{1000}-\frac{70315}{1000}$$

Since -\frac{4102}{1000} and \frac{70315}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4102-70315}{1000}$$

Subtract 70315 from -4102 to get -74417.

$$-\frac{74417}{1000}$$

Factor

$$-74.417$$