Solve 7/24+1/10+3/4

$$\frac { 7 } { 24 } + \frac { 1 } { 10 } + \frac { 3 } { 4 }$$

Evaluate

$$\frac{137}{120}\approx 1.141666667$$

Solution Steps

Least common multiple of 24 and 10 is 120. Convert \frac{7}{24} and \frac{1}{10} to fractions with denominator 120.

$$\frac{35}{120}+\frac{12}{120}+\frac{3}{4}$$

Since \frac{35}{120} and \frac{12}{120} have the same denominator, add them by adding their numerators.

$$\frac{35+12}{120}+\frac{3}{4}$$

Add 35 and 12 to get 47.

$$\frac{47}{120}+\frac{3}{4}$$

Least common multiple of 120 and 4 is 120. Convert \frac{47}{120} and \frac{3}{4} to fractions with denominator 120.

$$\frac{47}{120}+\frac{90}{120}$$

Since \frac{47}{120} and \frac{90}{120} have the same denominator, add them by adding their numerators.

$$\frac{47+90}{120}$$

Add 47 and 90 to get 137.

$$\frac{137}{120}$$

Factor

$$\frac{137}{2 ^ {3} \cdot 3 \cdot 5} = 1\frac{17}{120} = 1.1416666666666666$$