Add 8/28 and 28/30
8/28 + 28/30 is 128/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 28 × 15 = 420,
8/28 = 8 × 15/28 × 15 = 120/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
28/30 = 28 × 14/30 × 14 = 392/420 - Add the two like fractions:
120/420 + 392/420 = 120 + 392/420 = 512/420 - 512/420 simplified gives 128/105
- So, 8/28 + 28/30 = 128/105
In mixed form: 123/105
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