Add 30/35 and 42/21
1st number: 30/35, 2nd number: 2 0/21
30/35 + 42/21 is 20/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 35 × 3 = 105,
30/35 = 30 × 3/35 × 3 = 90/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
42/21 = 42 × 5/21 × 5 = 210/105 - Add the two like fractions:
90/105 + 210/105 = 90 + 210/105 = 300/105 - 300/105 simplified gives 20/7
- So, 30/35 + 42/21 = 20/7
In mixed form: 26/7
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