Add 4/9 and 42/84
4/9 + 42/84 is 17/18.
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,
4/9 = 4 × 28/9 × 28 = 112/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
42/84 = 42 × 3/84 × 3 = 126/252 - Add the two like fractions:
112/252 + 126/252 = 112 + 126/252 = 238/252 - 238/252 simplified gives 17/18
- So, 4/9 + 42/84 = 17/18
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