Add 30/96 and 75/27
1st number: 30/96, 2nd number: 2 21/27
30/96 + 75/27 is 445/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 27 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 96 × 9 = 864,
30/96 = 30 × 9/96 × 9 = 270/864 - Likewise, for the 2nd fraction, since 27 × 32 = 864,
75/27 = 75 × 32/27 × 32 = 2400/864 - Add the two like fractions:
270/864 + 2400/864 = 270 + 2400/864 = 2670/864 - 2670/864 simplified gives 445/144
- So, 30/96 + 75/27 = 445/144
In mixed form: 313/144
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