Solve (0.56*4/13-26)*8/11

$$( 0.56 \times \frac { 4 } { 13 } - 26 ) \times \frac { 8 } { 11 }$$

Evaluate

$$-\frac{67152}{3575}\approx -18.783776224$$

Solution Steps

Convert decimal number 0.56 to fraction \frac{56}{100}. Reduce the fraction \frac{56}{100} to lowest terms by extracting and canceling out 4.

$$\left(\frac{14}{25}\times \frac{4}{13}-26\right)\times \frac{8}{11}$$

Multiply \frac{14}{25} times \frac{4}{13} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{14\times 4}{25\times 13}-26\right)\times \frac{8}{11}$$

Do the multiplications in the fraction \frac{14\times 4}{25\times 13}.

$$\left(\frac{56}{325}-26\right)\times \frac{8}{11}$$

Convert 26 to fraction \frac{8450}{325}.

$$\left(\frac{56}{325}-\frac{8450}{325}\right)\times \frac{8}{11}$$

Since \frac{56}{325} and \frac{8450}{325} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-8450}{325}\times \frac{8}{11}$$

Subtract 8450 from 56 to get -8394.

$$-\frac{8394}{325}\times \frac{8}{11}$$

Multiply -\frac{8394}{325} times \frac{8}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8394\times 8}{325\times 11}$$

Do the multiplications in the fraction \frac{-8394\times 8}{325\times 11}.

$$\frac{-67152}{3575}$$

Fraction \frac{-67152}{3575} can be rewritten as -\frac{67152}{3575} by extracting the negative sign.

$$-\frac{67152}{3575}$$

Factor

$$-\frac{67152}{3575} = -18\frac{2802}{3575} = -18.783776223776222$$