Solve (1-55/44)^2*21/44

$$( 1 - \frac { 55 } { 44 } ) ^ { 2 } \times \frac { 21 } { 44 }$$

Evaluate

$$\frac{21}{704}\approx 0.029829545$$

Solution Steps

Reduce the fraction \frac{55}{44} to lowest terms by extracting and canceling out 11.

$$\left(1-\frac{5}{4}\right)^{2}\times \frac{21}{44}$$

Subtract \frac{5}{4} from 1 to get -\frac{1}{4}.

$$\left(-\frac{1}{4}\right)^{2}\times \frac{21}{44}$$

Calculate -\frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{1}{16}\times \frac{21}{44}$$

Multiply \frac{1}{16} and \frac{21}{44} to get \frac{21}{704}.

$$\frac{21}{704}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {6} \cdot 11} = 0.029829545454545456$$