Add 4/9 and 28/48
4/9 + 28/48 is 37/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 48 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
4/9 = 4 × 16/9 × 16 = 64/144 - Likewise, for the 2nd fraction, since 48 × 3 = 144,
28/48 = 28 × 3/48 × 3 = 84/144 - Add the two like fractions:
64/144 + 84/144 = 64 + 84/144 = 148/144 - 148/144 simplified gives 37/36
- So, 4/9 + 28/48 = 37/36
In mixed form: 11/36
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