Add 40/45 and 30/96
40/45 + 30/96 is 173/144.
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,
40/45 = 40 × 32/45 × 32 = 1280/1440 - Likewise, for the 2nd fraction, since 96 × 15 = 1440,
30/96 = 30 × 15/96 × 15 = 450/1440 - Add the two like fractions:
1280/1440 + 450/1440 = 1280 + 450/1440 = 1730/1440 - 1730/1440 simplified gives 173/144
- So, 40/45 + 30/96 = 173/144
In mixed form: 129/144
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