Solve (20*(5/4)+3*(1/2))-1/4

$$(20 \times ( \frac{ 5 }{ 4 } )+3 \times ( \frac{ 1 }{ 2 } ))- \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{105}{4}=26.25$$

Solution Steps

Express 20\times \frac{5}{4} as a single fraction.

$$\frac{20\times 5}{4}+3\times \frac{1}{2}-\frac{1}{4}$$

Multiply 20 and 5 to get 100.

$$\frac{100}{4}+3\times \frac{1}{2}-\frac{1}{4}$$

Divide 100 by 4 to get 25.

$$25+3\times \frac{1}{2}-\frac{1}{4}$$

Multiply 3 and \frac{1}{2} to get \frac{3}{2}.

$$25+\frac{3}{2}-\frac{1}{4}$$

Convert 25 to fraction \frac{50}{2}.

$$\frac{50}{2}+\frac{3}{2}-\frac{1}{4}$$

Since \frac{50}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{50+3}{2}-\frac{1}{4}$$

Add 50 and 3 to get 53.

$$\frac{53}{2}-\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{53}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{106}{4}-\frac{1}{4}$$

Since \frac{106}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{106-1}{4}$$

Subtract 1 from 106 to get 105.

$$\frac{105}{4}$$

Factor

$$\frac{3 \cdot 5 \cdot 7}{2 ^ {2}} = 26\frac{1}{4} = 26.25$$