Add 35/30 and 20/42
1st number: 1 5/30, 2nd number: 20/42
35/30 + 20/42 is 23/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 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 42 × 5 = 210,
20/42 = 20 × 5/42 × 5 = 100/210 - Add the two like fractions:
245/210 + 100/210 = 245 + 100/210 = 345/210 - 345/210 simplified gives 23/14
- So, 35/30 + 20/42 = 23/14
In mixed form: 19/14
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