Add 40/14 and 30/21
1st number: 2 12/14, 2nd number: 1 9/21
40/14 + 30/21 is 30/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
40/14 = 40 × 3/14 × 3 = 120/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
30/21 = 30 × 2/21 × 2 = 60/42 - Add the two like fractions:
120/42 + 60/42 = 120 + 60/42 = 180/42 - 180/42 simplified gives 30/7
- So, 40/14 + 30/21 = 30/7
In mixed form: 42/7
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