Add 30/7 and 42/24
1st number: 4 2/7, 2nd number: 1 18/24
30/7 + 42/24 is 169/28.
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,
42/24 = 42 × 7/24 × 7 = 294/168 - Add the two like fractions:
720/168 + 294/168 = 720 + 294/168 = 1014/168 - 1014/168 simplified gives 169/28
- So, 30/7 + 42/24 = 169/28
In mixed form: 61/28
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