Solve 5/2+7/4=6/8

$$\frac { 5 } { 2 } + \frac { 7 } { 4 } = \frac { 6 } { 8 }$$

Verify

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{7}{4} to fractions with denominator 4.

$$\frac{10}{4}+\frac{7}{4}=\frac{6}{8}$$

Since \frac{10}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.

$$\frac{10+7}{4}=\frac{6}{8}$$

Add 10 and 7 to get 17.

$$\frac{17}{4}=\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{17}{4}=\frac{3}{4}$$

Compare \frac{17}{4} and \frac{3}{4}.

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