Add 18/35 and 28/49
18/35 + 28/49 is 38/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
18/35 = 18 × 7/35 × 7 = 126/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
28/49 = 28 × 5/49 × 5 = 140/245 - Add the two like fractions:
126/245 + 140/245 = 126 + 140/245 = 266/245 - 266/245 simplified gives 38/35
- So, 18/35 + 28/49 = 38/35
In mixed form: 13/35
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