Add 28/96 and 42/45
28/96 + 42/45 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 96 × 15 = 1440,
28/96 = 28 × 15/96 × 15 = 420/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
42/45 = 42 × 32/45 × 32 = 1344/1440 - Add the two like fractions:
420/1440 + 1344/1440 = 420 + 1344/1440 = 1764/1440 - 1764/1440 simplified gives 49/40
- So, 28/96 + 42/45 = 49/40
In mixed form: 19/40
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