Solve {c}{(429/10)-0.9/8}{-0.25}

$$\left. \begin{array} { c } { \frac { ( \frac { 429 } { 10 } ) - 0.9 } { 8 } } \\ { - 0.25 } \end{array} \right.$$

Evaluate

$$5$$

Solution Steps

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{\frac{429}{10}-\frac{9}{10}}{8}-0.25$$

Since \frac{429}{10} and \frac{9}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{429-9}{10}}{8}-0.25$$

Subtract 9 from 429 to get 420.

$$\frac{\frac{420}{10}}{8}-0.25$$

Divide 420 by 10 to get 42.

$$\frac{42}{8}-0.25$$

Reduce the fraction \frac{42}{8} to lowest terms by extracting and canceling out 2.

$$\frac{21}{4}-0.25$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{21}{4}-\frac{1}{4}$$

Since \frac{21}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-1}{4}$$

Subtract 1 from 21 to get 20.

$$\frac{20}{4}$$

Divide 20 by 4 to get 5.

$$5$$

Factor

$$5$$