Solve 1/4+1/4+1+7+8.5+8.0+9.5+10.0+9.0

$$\frac{ 1 }{ 4 } + \frac{ 1 }{ 4 } +1+7+8.5+8.0+9.5+10.0+9.0$$

Evaluate

$$53.5$$

Solution Steps

Since \frac{1}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+1}{4}+1+7+8.5+8+9.5+10+9$$

Add 1 and 1 to get 2.

$$\frac{2}{4}+1+7+8.5+8+9.5+10+9$$

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

$$\frac{1}{2}+1+7+8.5+8+9.5+10+9$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{1}{2}+\frac{2}{2}+7+8.5+8+9.5+10+9$$

Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{2}+7+8.5+8+9.5+10+9$$

Add 1 and 2 to get 3.

$$\frac{3}{2}+7+8.5+8+9.5+10+9$$

Convert 7 to fraction \frac{14}{2}.

$$\frac{3}{2}+\frac{14}{2}+8.5+8+9.5+10+9$$

Since \frac{3}{2} and \frac{14}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+14}{2}+8.5+8+9.5+10+9$$

Add 3 and 14 to get 17.

$$\frac{17}{2}+8.5+8+9.5+10+9$$

Convert decimal number 8.5 to fraction \frac{85}{10}. Reduce the fraction \frac{85}{10} to lowest terms by extracting and canceling out 5.

$$\frac{17}{2}+\frac{17}{2}+8+9.5+10+9$$

Since \frac{17}{2} and \frac{17}{2} have the same denominator, add them by adding their numerators.

$$\frac{17+17}{2}+8+9.5+10+9$$

Add 17 and 17 to get 34.

$$\frac{34}{2}+8+9.5+10+9$$

Divide 34 by 2 to get 17.

$$17+8+9.5+10+9$$

Add 17 and 8 to get 25.

$$25+9.5+10+9$$

Add 25 and 9.5 to get 34.5.

$$34.5+10+9$$

Add 34.5 and 10 to get 44.5.

$$44.5+9$$

Add 44.5 and 9 to get 53.5.

$$53.5$$

Factor

$$\frac{107}{2} = 53\frac{1}{2} = 53.5$$