Solve 1/40+1/24=1/7

$$\frac { 1 } { 40 } + \frac { 1 } { 24 } = \frac { 1 } { 7 }$$

Verify

Solution Steps

Least common multiple of 40 and 24 is 120. Convert \frac{1}{40} and \frac{1}{24} to fractions with denominator 120.

$$\frac{3}{120}+\frac{5}{120}=\frac{1}{7}$$

Since \frac{3}{120} and \frac{5}{120} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{120}=\frac{1}{7}$$

Add 3 and 5 to get 8.

$$\frac{8}{120}=\frac{1}{7}$$

Reduce the fraction \frac{8}{120} to lowest terms by extracting and canceling out 8.

$$\frac{1}{15}=\frac{1}{7}$$

Least common multiple of 15 and 7 is 105. Convert \frac{1}{15} and \frac{1}{7} to fractions with denominator 105.

$$\frac{7}{105}=\frac{15}{105}$$

Compare \frac{7}{105} and \frac{15}{105}.

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