Add 21/36 and 49/96
21/36 + 49/96 is 35/32.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 96 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 36 × 8 = 288,
21/36 = 21 × 8/36 × 8 = 168/288 - Likewise, for the 2nd fraction, since 96 × 3 = 288,
49/96 = 49 × 3/96 × 3 = 147/288 - Add the two like fractions:
168/288 + 147/288 = 168 + 147/288 = 315/288 - 315/288 simplified gives 35/32
- So, 21/36 + 49/96 = 35/32
In mixed form: 13/32
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