Solve 11/12+7/10+3/100+1/12

$$\frac { 11 } { 12 } + \frac { 7 } { 10 } + \frac { 3 } { 100 } + \frac { 1 } { 12 }$$

Evaluate

$$\frac{173}{100}=1.73$$

Solution Steps

Least common multiple of 12 and 10 is 60. Convert \frac{11}{12} and \frac{7}{10} to fractions with denominator 60.

$$\frac{55}{60}+\frac{42}{60}+\frac{3}{100}+\frac{1}{12}$$

Since \frac{55}{60} and \frac{42}{60} have the same denominator, add them by adding their numerators.

$$\frac{55+42}{60}+\frac{3}{100}+\frac{1}{12}$$

Add 55 and 42 to get 97.

$$\frac{97}{60}+\frac{3}{100}+\frac{1}{12}$$

Least common multiple of 60 and 100 is 300. Convert \frac{97}{60} and \frac{3}{100} to fractions with denominator 300.

$$\frac{485}{300}+\frac{9}{300}+\frac{1}{12}$$

Since \frac{485}{300} and \frac{9}{300} have the same denominator, add them by adding their numerators.

$$\frac{485+9}{300}+\frac{1}{12}$$

Add 485 and 9 to get 494.

$$\frac{494}{300}+\frac{1}{12}$$

Reduce the fraction \frac{494}{300} to lowest terms by extracting and canceling out 2.

$$\frac{247}{150}+\frac{1}{12}$$

Least common multiple of 150 and 12 is 300. Convert \frac{247}{150} and \frac{1}{12} to fractions with denominator 300.

$$\frac{494}{300}+\frac{25}{300}$$

Since \frac{494}{300} and \frac{25}{300} have the same denominator, add them by adding their numerators.

$$\frac{494+25}{300}$$

Add 494 and 25 to get 519.

$$\frac{519}{300}$$

Reduce the fraction \frac{519}{300} to lowest terms by extracting and canceling out 3.

$$\frac{173}{100}$$

Factor

$$\frac{173}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{73}{100} = 1.73$$