Add 40/9 and 36/96
1st number: 4 4/9, 2nd number: 36/96
40/9 + 36/96 is 347/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 96 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Likewise, for the 2nd fraction, since 96 × 3 = 288,
36/96 = 36 × 3/96 × 3 = 108/288 - Add the two like fractions:
1280/288 + 108/288 = 1280 + 108/288 = 1388/288 - 1388/288 simplified gives 347/72
- So, 40/9 + 36/96 = 347/72
In mixed form: 459/72
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