Solve 2/3+1/4+4/5=101/60

$$\frac { 2 } { 3 } + \frac { 1 } { 4 } + \frac { 4 } { 5 } = \frac { 101 } { 60 }$$

Verify

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{8}{12}+\frac{3}{12}+\frac{4}{5}=\frac{101}{60}$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{12}+\frac{4}{5}=\frac{101}{60}$$

Add 8 and 3 to get 11.

$$\frac{11}{12}+\frac{4}{5}=\frac{101}{60}$$

Least common multiple of 12 and 5 is 60. Convert \frac{11}{12} and \frac{4}{5} to fractions with denominator 60.

$$\frac{55}{60}+\frac{48}{60}=\frac{101}{60}$$

Since \frac{55}{60} and \frac{48}{60} have the same denominator, add them by adding their numerators.

$$\frac{55+48}{60}=\frac{101}{60}$$

Add 55 and 48 to get 103.

$$\frac{103}{60}=\frac{101}{60}$$

Compare \frac{103}{60} and \frac{101}{60}.

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