Add 30/96 and 49/45
1st number: 30/96, 2nd number: 1 4/45
30/96 + 49/45 is 1009/720.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 96 × 15 = 1440,
30/96 = 30 × 15/96 × 15 = 450/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
49/45 = 49 × 32/45 × 32 = 1568/1440 - Add the two like fractions:
450/1440 + 1568/1440 = 450 + 1568/1440 = 2018/1440 - 2018/1440 simplified gives 1009/720
- So, 30/96 + 49/45 = 1009/720
In mixed form: 1289/720
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