Add 42/9 and 21/84
1st number: 4 6/9, 2nd number: 21/84
42/9 + 21/84 is 59/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
42/9 = 42 × 28/9 × 28 = 1176/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
21/84 = 21 × 3/84 × 3 = 63/252 - Add the two like fractions:
1176/252 + 63/252 = 1176 + 63/252 = 1239/252 - 1239/252 simplified gives 59/12
- So, 42/9 + 21/84 = 59/12
In mixed form: 411/12
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