Solve (-5.3)+(-63/4)-7.2+(-1/2)+5

$$( - 5.3 ) + ( - 6 \frac { 3 } { 4 } ) - 7.2 + ( - \frac { 1 } { 2 } ) + 5$$

Evaluate

$$-14.75$$

Solution Steps

Multiply 6 and 4 to get 24.

$$-5.3-\frac{24+3}{4}-7.2-\frac{1}{2}+5$$

Add 24 and 3 to get 27.

$$-5.3-\frac{27}{4}-7.2-\frac{1}{2}+5$$

Convert decimal number -5.3 to fraction -\frac{53}{10}.

$$-\frac{53}{10}-\frac{27}{4}-7.2-\frac{1}{2}+5$$

Least common multiple of 10 and 4 is 20. Convert -\frac{53}{10} and \frac{27}{4} to fractions with denominator 20.

$$-\frac{106}{20}-\frac{135}{20}-7.2-\frac{1}{2}+5$$

Since -\frac{106}{20} and \frac{135}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-106-135}{20}-7.2-\frac{1}{2}+5$$

Subtract 135 from -106 to get -241.

$$-\frac{241}{20}-7.2-\frac{1}{2}+5$$

Convert decimal number 7.2 to fraction \frac{72}{10}. Reduce the fraction \frac{72}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{241}{20}-\frac{36}{5}-\frac{1}{2}+5$$

Least common multiple of 20 and 5 is 20. Convert -\frac{241}{20} and \frac{36}{5} to fractions with denominator 20.

$$-\frac{241}{20}-\frac{144}{20}-\frac{1}{2}+5$$

Since -\frac{241}{20} and \frac{144}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-241-144}{20}-\frac{1}{2}+5$$

Subtract 144 from -241 to get -385.

$$\frac{-385}{20}-\frac{1}{2}+5$$

Reduce the fraction \frac{-385}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{77}{4}-\frac{1}{2}+5$$

Least common multiple of 4 and 2 is 4. Convert -\frac{77}{4} and \frac{1}{2} to fractions with denominator 4.

$$-\frac{77}{4}-\frac{2}{4}+5$$

Since -\frac{77}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-77-2}{4}+5$$

Subtract 2 from -77 to get -79.

$$-\frac{79}{4}+5$$

Convert 5 to fraction \frac{20}{4}.

$$-\frac{79}{4}+\frac{20}{4}$$

Since -\frac{79}{4} and \frac{20}{4} have the same denominator, add them by adding their numerators.

$$\frac{-79+20}{4}$$

Add -79 and 20 to get -59.

$$-\frac{59}{4}$$

Factor

$$-14.75$$