Solve 35/11*12/19-28/11

$$3 \frac { 5 } { 11 } \cdot \frac { 12 } { 19 } - 2 \frac { 8 } { 11 }$$

Evaluate

$$-\frac{6}{11}\approx -0.545454545$$

Solution Steps

Multiply 3 and 11 to get 33.

$$\frac{33+5}{11}\times \frac{12}{19}-\frac{2\times 11+8}{11}$$

Add 33 and 5 to get 38.

$$\frac{38}{11}\times \frac{12}{19}-\frac{2\times 11+8}{11}$$

Multiply \frac{38}{11} times \frac{12}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{38\times 12}{11\times 19}-\frac{2\times 11+8}{11}$$

Do the multiplications in the fraction \frac{38\times 12}{11\times 19}.

$$\frac{456}{209}-\frac{2\times 11+8}{11}$$

Reduce the fraction \frac{456}{209} to lowest terms by extracting and canceling out 19.

$$\frac{24}{11}-\frac{2\times 11+8}{11}$$

Multiply 2 and 11 to get 22.

$$\frac{24}{11}-\frac{22+8}{11}$$

Add 22 and 8 to get 30.

$$\frac{24}{11}-\frac{30}{11}$$

Since \frac{24}{11} and \frac{30}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-30}{11}$$

Subtract 30 from 24 to get -6.

$$-\frac{6}{11}$$

Factor

$$-\frac{6}{11} = -0.5454545454545454$$