Solve 5/4+5/4*5/4-5/4

$$\frac{ 5 }{ 4 } + \frac{ 5 }{ 4 } \times \frac{ 5 }{ 4 } - \frac{ 5 }{ 4 }$$

Evaluate

$$\frac{25}{16}=1.5625$$

Solution Steps

Multiply \frac{5}{4} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{4}+\frac{5\times 5}{4\times 4}-\frac{5}{4}$$

Do the multiplications in the fraction \frac{5\times 5}{4\times 4}.

$$\frac{5}{4}+\frac{25}{16}-\frac{5}{4}$$

Least common multiple of 4 and 16 is 16. Convert \frac{5}{4} and \frac{25}{16} to fractions with denominator 16.

$$\frac{20}{16}+\frac{25}{16}-\frac{5}{4}$$

Since \frac{20}{16} and \frac{25}{16} have the same denominator, add them by adding their numerators.

$$\frac{20+25}{16}-\frac{5}{4}$$

Add 20 and 25 to get 45.

$$\frac{45}{16}-\frac{5}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{45}{16} and \frac{5}{4} to fractions with denominator 16.

$$\frac{45}{16}-\frac{20}{16}$$

Since \frac{45}{16} and \frac{20}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-20}{16}$$

Subtract 20 from 45 to get 25.

$$\frac{25}{16}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4}} = 1\frac{9}{16} = 1.5625$$