Add 30/42 and 24/7
1st number: 30/42, 2nd number: 3 3/7
30/42 + 24/7 is 29/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 7 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42 - Likewise, for the 2nd fraction, since 7 × 6 = 42,
24/7 = 24 × 6/7 × 6 = 144/42 - Add the two like fractions:
30/42 + 144/42 = 30 + 144/42 = 174/42 - 174/42 simplified gives 29/7
- So, 30/42 + 24/7 = 29/7
In mixed form: 41/7
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