Add 30/18 and 49/32
1st number: 1 12/18, 2nd number: 1 17/32
30/18 + 49/32 is 307/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 18 × 16 = 288,
30/18 = 30 × 16/18 × 16 = 480/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
49/32 = 49 × 9/32 × 9 = 441/288 - Add the two like fractions:
480/288 + 441/288 = 480 + 441/288 = 921/288 - 921/288 simplified gives 307/96
- So, 30/18 + 49/32 = 307/96
In mixed form: 319/96
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