Add 27/10 and 1/42
1st number: 2 7/10, 2nd number: 1/42
27/10 + 1/42 is 286/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
27/10 = 27 × 21/10 × 21 = 567/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
1/42 = 1 × 5/42 × 5 = 5/210 - Add the two like fractions:
567/210 + 5/210 = 567 + 5/210 = 572/210 - 572/210 simplified gives 286/105
- So, 27/10 + 1/42 = 286/105
In mixed form: 276/105
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