Solve 41/4+11/2+0.5+1.25

$$4 \frac{ 1 }{ 4 } +1 \frac{ 1 }{ 2 } +0.5+1.25$$

Evaluate

$$7.5$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+1}{4}+\frac{1\times 2+1}{2}+0.5+1.25$$

Add 16 and 1 to get 17.

$$\frac{17}{4}+\frac{1\times 2+1}{2}+0.5+1.25$$

Multiply 1 and 2 to get 2.

$$\frac{17}{4}+\frac{2+1}{2}+0.5+1.25$$

Add 2 and 1 to get 3.

$$\frac{17}{4}+\frac{3}{2}+0.5+1.25$$

Least common multiple of 4 and 2 is 4. Convert \frac{17}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{17}{4}+\frac{6}{4}+0.5+1.25$$

Since \frac{17}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{17+6}{4}+0.5+1.25$$

Add 17 and 6 to get 23.

$$\frac{23}{4}+0.5+1.25$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{23}{4}+\frac{1}{2}+1.25$$

Least common multiple of 4 and 2 is 4. Convert \frac{23}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{23}{4}+\frac{2}{4}+1.25$$

Since \frac{23}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{23+2}{4}+1.25$$

Add 23 and 2 to get 25.

$$\frac{25}{4}+1.25$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

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

Since \frac{25}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

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

Add 25 and 5 to get 30.

$$\frac{30}{4}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$