Add 3/5 and 35/84
3/5 + 35/84 is 61/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
3/5 = 3 × 84/5 × 84 = 252/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
35/84 = 35 × 5/84 × 5 = 175/420 - Add the two like fractions:
252/420 + 175/420 = 252 + 175/420 = 427/420 - 427/420 simplified gives 61/60
- So, 3/5 + 35/84 = 61/60
In mixed form: 11/60
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