Add 48/72 and 49/96
48/72 + 49/96 is 113/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 96 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 72 × 4 = 288,
48/72 = 48 × 4/72 × 4 = 192/288 - Likewise, for the 2nd fraction, since 96 × 3 = 288,
49/96 = 49 × 3/96 × 3 = 147/288 - Add the two like fractions:
192/288 + 147/288 = 192 + 147/288 = 339/288 - 339/288 simplified gives 113/96
- So, 48/72 + 49/96 = 113/96
In mixed form: 117/96
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