Solve 4(5/4)^2-10(5/4)+6

$$4 ( \frac { 5 } { 4 } ) ^ { 2 } - 10 ( \frac { 5 } { 4 } ) + 6$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

Calculate \frac{5}{4} to the power of 2 and get \frac{25}{16}.

$$4\times \frac{25}{16}-10\times \frac{5}{4}+6$$

Express 4\times \frac{25}{16} as a single fraction.

$$\frac{4\times 25}{16}-10\times \frac{5}{4}+6$$

Multiply 4 and 25 to get 100.

$$\frac{100}{16}-10\times \frac{5}{4}+6$$

Reduce the fraction \frac{100}{16} to lowest terms by extracting and canceling out 4.

$$\frac{25}{4}-10\times \frac{5}{4}+6$$

Express 10\times \frac{5}{4} as a single fraction.

$$\frac{25}{4}-\frac{10\times 5}{4}+6$$

Multiply 10 and 5 to get 50.

$$\frac{25}{4}-\frac{50}{4}+6$$

Since \frac{25}{4} and \frac{50}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-50}{4}+6$$

Subtract 50 from 25 to get -25.

$$-\frac{25}{4}+6$$

Convert 6 to fraction \frac{24}{4}.

$$-\frac{25}{4}+\frac{24}{4}$$

Since -\frac{25}{4} and \frac{24}{4} have the same denominator, add them by adding their numerators.

$$\frac{-25+24}{4}$$

Add -25 and 24 to get -1.

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

Factor

$$-\frac{1}{4} = -0.25$$