Add 30/42 and 56/3
1st number: 30/42, 2nd number: 18 2/3
30/42 + 56/3 is 407/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 3 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 3 × 14 = 42,
56/3 = 56 × 14/3 × 14 = 784/42 - Add the two like fractions:
30/42 + 784/42 = 30 + 784/42 = 814/42 - 814/42 simplified gives 407/21
- So, 30/42 + 56/3 = 407/21
In mixed form: 198/21
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