Add 45/60 and 28/35
45/60 + 28/35 is 31/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
45/60 = 45 × 7/60 × 7 = 315/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
28/35 = 28 × 12/35 × 12 = 336/420 - Add the two like fractions:
315/420 + 336/420 = 315 + 336/420 = 651/420 - 651/420 simplified gives 31/20
- So, 45/60 + 28/35 = 31/20
In mixed form: 111/20
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