Add 30/96 and 40/9
1st number: 30/96, 2nd number: 4 4/9
30/96 + 40/9 is 685/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 9 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 96 × 3 = 288,
30/96 = 30 × 3/96 × 3 = 90/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Add the two like fractions:
90/288 + 1280/288 = 90 + 1280/288 = 1370/288 - 1370/288 simplified gives 685/144
- So, 30/96 + 40/9 = 685/144
In mixed form: 4109/144
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