Add 75/12 and 42/21
1st number: 6 3/12, 2nd number: 2 0/21
75/12 + 42/21 is 33/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
75/12 = 75 × 7/12 × 7 = 525/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
42/21 = 42 × 4/21 × 4 = 168/84 - Add the two like fractions:
525/84 + 168/84 = 525 + 168/84 = 693/84 - 693/84 simplified gives 33/4
- So, 75/12 + 42/21 = 33/4
In mixed form: 81/4
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