Add 20/45 and 30/96
20/45 + 30/96 is 109/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 96 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
20/45 = 20 × 32/45 × 32 = 640/1440 - Likewise, for the 2nd fraction, since 96 × 15 = 1440,
30/96 = 30 × 15/96 × 15 = 450/1440 - Add the two like fractions:
640/1440 + 450/1440 = 640 + 450/1440 = 1090/1440 - 1090/1440 simplified gives 109/144
- So, 20/45 + 30/96 = 109/144
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