Add 27/10 and 30/84
1st number: 2 7/10, 2nd number: 30/84
27/10 + 30/84 is 107/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
27/10 = 27 × 42/10 × 42 = 1134/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Add the two like fractions:
1134/420 + 150/420 = 1134 + 150/420 = 1284/420 - 1284/420 simplified gives 107/35
- So, 27/10 + 30/84 = 107/35
In mixed form: 32/35
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