Add 35/30 and 42/21
1st number: 1 5/30, 2nd number: 2 0/21
35/30 + 42/21 is 19/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
35/30 = 35 × 7/30 × 7 = 245/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
42/21 = 42 × 10/21 × 10 = 420/210 - Add the two like fractions:
245/210 + 420/210 = 245 + 420/210 = 665/210 - 665/210 simplified gives 19/6
- So, 35/30 + 42/21 = 19/6
In mixed form: 31/6
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