Solve -2.88*35/72+(1.0625-5/12)*(-16)=

$$-2.88 \times \frac{ 35 }{ 72 } +(1.0625- \frac{ 5 }{ 12 } ) \times (-16)=$$

Evaluate

$$-\frac{176}{15}\approx -11.733333333$$

Solution Steps

Convert decimal number -2.88 to fraction -\frac{288}{100}. Reduce the fraction -\frac{288}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{72}{25}\times \frac{35}{72}+\left(1.0625-\frac{5}{12}\right)\left(-16\right)$$

Multiply -\frac{72}{25} times \frac{35}{72} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-72\times 35}{25\times 72}+\left(1.0625-\frac{5}{12}\right)\left(-16\right)$$

Do the multiplications in the fraction \frac{-72\times 35}{25\times 72}.

$$\frac{-2520}{1800}+\left(1.0625-\frac{5}{12}\right)\left(-16\right)$$

Reduce the fraction \frac{-2520}{1800} to lowest terms by extracting and canceling out 360.

$$-\frac{7}{5}+\left(1.0625-\frac{5}{12}\right)\left(-16\right)$$

Convert decimal number 1.0625 to fraction \frac{10625}{10000}. Reduce the fraction \frac{10625}{10000} to lowest terms by extracting and canceling out 625.

$$-\frac{7}{5}+\left(\frac{17}{16}-\frac{5}{12}\right)\left(-16\right)$$

Least common multiple of 16 and 12 is 48. Convert \frac{17}{16} and \frac{5}{12} to fractions with denominator 48.

$$-\frac{7}{5}+\left(\frac{51}{48}-\frac{20}{48}\right)\left(-16\right)$$

Since \frac{51}{48} and \frac{20}{48} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{7}{5}+\frac{51-20}{48}\left(-16\right)$$

Subtract 20 from 51 to get 31.

$$-\frac{7}{5}+\frac{31}{48}\left(-16\right)$$

Express \frac{31}{48}\left(-16\right) as a single fraction.

$$-\frac{7}{5}+\frac{31\left(-16\right)}{48}$$

Multiply 31 and -16 to get -496.

$$-\frac{7}{5}+\frac{-496}{48}$$

Reduce the fraction \frac{-496}{48} to lowest terms by extracting and canceling out 16.

$$-\frac{7}{5}-\frac{31}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{7}{5} and \frac{31}{3} to fractions with denominator 15.

$$-\frac{21}{15}-\frac{155}{15}$$

Since -\frac{21}{15} and \frac{155}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-155}{15}$$

Subtract 155 from -21 to get -176.

$$-\frac{176}{15}$$

Factor

$$-\frac{176}{15} = -11\frac{11}{15} = -11.733333333333333$$