Add 30/42 and 42/7
1st number: 30/42, 2nd number: 6 0/7
30/42 + 42/7 is 47/7.
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,
42/7 = 42 × 6/7 × 6 = 252/42 - Add the two like fractions:
30/42 + 252/42 = 30 + 252/42 = 282/42 - 282/42 simplified gives 47/7
- So, 30/42 + 42/7 = 47/7
In mixed form: 65/7
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