Solve (-1+22/21):2/54=

$$( - 1 + \frac { 22 } { 21 } ) : \frac { 2 } { 54 } =$$

Evaluate

$$\frac{9}{7}\approx 1.285714286$$

Solution Steps

Convert -1 to fraction -\frac{21}{21}.

$$\frac{-\frac{21}{21}+\frac{22}{21}}{\frac{2}{54}}$$

Since -\frac{21}{21} and \frac{22}{21} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-21+22}{21}}{\frac{2}{54}}$$

Add -21 and 22 to get 1.

$$\frac{\frac{1}{21}}{\frac{2}{54}}$$

Reduce the fraction \frac{2}{54} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{21}}{\frac{1}{27}}$$

Divide \frac{1}{21} by \frac{1}{27} by multiplying \frac{1}{21} by the reciprocal of \frac{1}{27}.

$$\frac{1}{21}\times 27$$

Multiply \frac{1}{21} and 27 to get \frac{27}{21}.

$$\frac{27}{21}$$

Reduce the fraction \frac{27}{21} to lowest terms by extracting and canceling out 3.

$$\frac{9}{7}$$

Factor

$$\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1.2857142857142858$$