Add 40/9 and 42/84
1st number: 4 4/9, 2nd number: 42/84
40/9 + 42/84 is 89/18.
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,
40/9 = 40 × 28/9 × 28 = 1120/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
42/84 = 42 × 3/84 × 3 = 126/252 - Add the two like fractions:
1120/252 + 126/252 = 1120 + 126/252 = 1246/252 - 1246/252 simplified gives 89/18
- So, 40/9 + 42/84 = 89/18
In mixed form: 417/18
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