Add 75/28 and 40/21
1st number: 2 19/28, 2nd number: 1 19/21
75/28 + 40/21 is 55/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 28 × 3 = 84,
75/28 = 75 × 3/28 × 3 = 225/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
40/21 = 40 × 4/21 × 4 = 160/84 - Add the two like fractions:
225/84 + 160/84 = 225 + 160/84 = 385/84 - 385/84 simplified gives 55/12
- So, 75/28 + 40/21 = 55/12
In mixed form: 47/12
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