Add 27/42 and 30/7
1st number: 27/42, 2nd number: 4 2/7
27/42 + 30/7 is 69/14.
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,
27/42 = 27 × 1/42 × 1 = 27/42 - Likewise, for the 2nd fraction, since 7 × 6 = 42,
30/7 = 30 × 6/7 × 6 = 180/42 - Add the two like fractions:
27/42 + 180/42 = 27 + 180/42 = 207/42 - 207/42 simplified gives 69/14
- So, 27/42 + 30/7 = 69/14
In mixed form: 413/14
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