Solve 111/4*1/9-47/12*4/11

$$11 \frac { 1 } { 4 } \times \frac{ 1 }{ 9 } - 4 \frac { 7 } { 12 } \times \frac{ 4 }{ 11 }$$

Evaluate

$$-\frac{5}{12}\approx -0.416666667$$

Solution Steps

Multiply 11 and 4 to get 44.

$$\frac{44+1}{4}\times \frac{1}{9}-\frac{4\times 12+7}{12}\times \frac{4}{11}$$

Add 44 and 1 to get 45.

$$\frac{45}{4}\times \frac{1}{9}-\frac{4\times 12+7}{12}\times \frac{4}{11}$$

Multiply \frac{45}{4} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 1}{4\times 9}-\frac{4\times 12+7}{12}\times \frac{4}{11}$$

Do the multiplications in the fraction \frac{45\times 1}{4\times 9}.

$$\frac{45}{36}-\frac{4\times 12+7}{12}\times \frac{4}{11}$$

Reduce the fraction \frac{45}{36} to lowest terms by extracting and canceling out 9.

$$\frac{5}{4}-\frac{4\times 12+7}{12}\times \frac{4}{11}$$

Multiply 4 and 12 to get 48.

$$\frac{5}{4}-\frac{48+7}{12}\times \frac{4}{11}$$

Add 48 and 7 to get 55.

$$\frac{5}{4}-\frac{55}{12}\times \frac{4}{11}$$

Multiply \frac{55}{12} times \frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{4}-\frac{55\times 4}{12\times 11}$$

Do the multiplications in the fraction \frac{55\times 4}{12\times 11}.

$$\frac{5}{4}-\frac{220}{132}$$

Reduce the fraction \frac{220}{132} to lowest terms by extracting and canceling out 44.

$$\frac{5}{4}-\frac{5}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{15}{12}-\frac{20}{12}$$

Since \frac{15}{12} and \frac{20}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-20}{12}$$

Subtract 20 from 15 to get -5.

$$-\frac{5}{12}$$

Factor

$$-\frac{5}{12} = -0.4166666666666667$$