Add 30/7 and 7/24
1st number: 4 2/7, 2nd number: 7/24
30/7 + 7/24 is 769/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 7 × 24 = 168,
30/7 = 30 × 24/7 × 24 = 720/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
7/24 = 7 × 7/24 × 7 = 49/168 - Add the two like fractions:
720/168 + 49/168 = 720 + 49/168 = 769/168 - So, 30/7 + 7/24 = 769/168
In mixed form: 497/168
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