Add 9/96 and 20/45
9/96 + 20/45 is 155/288.
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,
9/96 = 9 × 15/96 × 15 = 135/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
20/45 = 20 × 32/45 × 32 = 640/1440 - Add the two like fractions:
135/1440 + 640/1440 = 135 + 640/1440 = 775/1440 - 775/1440 simplified gives 155/288
- So, 9/96 + 20/45 = 155/288
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