Solve 1/12+1/4+1+1/128

$$\frac { 1 } { 12 } + \frac { 1 } { 4 } + 1 + \frac { 1 } { 128 }$$

Evaluate

$$\frac{515}{384}\approx 1.341145833$$

Solution Steps

Least common multiple of 12 and 4 is 12. Convert \frac{1}{12} and \frac{1}{4} to fractions with denominator 12.

$$\frac{1}{12}+\frac{3}{12}+1+\frac{1}{128}$$

Since \frac{1}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{12}+1+\frac{1}{128}$$

Add 1 and 3 to get 4.

$$\frac{4}{12}+1+\frac{1}{128}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}+1+\frac{1}{128}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{1}{3}+\frac{3}{3}+\frac{1}{128}$$

Since \frac{1}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{3}+\frac{1}{128}$$

Add 1 and 3 to get 4.

$$\frac{4}{3}+\frac{1}{128}$$

Least common multiple of 3 and 128 is 384. Convert \frac{4}{3} and \frac{1}{128} to fractions with denominator 384.

$$\frac{512}{384}+\frac{3}{384}$$

Since \frac{512}{384} and \frac{3}{384} have the same denominator, add them by adding their numerators.

$$\frac{512+3}{384}$$

Add 512 and 3 to get 515.

$$\frac{515}{384}$$

Factor

$$\frac{5 \cdot 103}{2 ^ {7} \cdot 3} = 1\frac{131}{384} = 1.3411458333333333$$