Add 45/84 and 96/35
1st number: 45/84, 2nd number: 2 26/35
45/84 + 96/35 is 459/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
96/35 = 96 × 12/35 × 12 = 1152/420 - Add the two like fractions:
225/420 + 1152/420 = 225 + 1152/420 = 1377/420 - 1377/420 simplified gives 459/140
- So, 45/84 + 96/35 = 459/140
In mixed form: 339/140
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