Add 21/3 and 30/42
1st number: 7 0/3, 2nd number: 30/42
21/3 + 30/42 is 54/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
21/3 = 21 × 14/3 × 14 = 294/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42 - Add the two like fractions:
294/42 + 30/42 = 294 + 30/42 = 324/42 - 324/42 simplified gives 54/7
- So, 21/3 + 30/42 = 54/7
In mixed form: 75/7
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