Add 35/20 and 30/42
1st number: 1 15/20, 2nd number: 30/42
35/20 + 30/42 is 69/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
35/20 = 35 × 21/20 × 21 = 735/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
30/42 = 30 × 10/42 × 10 = 300/420 - Add the two like fractions:
735/420 + 300/420 = 735 + 300/420 = 1035/420 - 1035/420 simplified gives 69/28
- So, 35/20 + 30/42 = 69/28
In mixed form: 213/28
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