Add 7/2 and 75/84
1st number: 3 1/2, 2nd number: 75/84
7/2 + 75/84 is 123/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 2 × 42 = 84,
7/2 = 7 × 42/2 × 42 = 294/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
75/84 = 75 × 1/84 × 1 = 75/84 - Add the two like fractions:
294/84 + 75/84 = 294 + 75/84 = 369/84 - 369/84 simplified gives 123/28
- So, 7/2 + 75/84 = 123/28
In mixed form: 411/28
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