Add 6/30 and 48/49
6/30 + 48/49 is 289/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
6/30 = 6 × 49/30 × 49 = 294/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
48/49 = 48 × 30/49 × 30 = 1440/1470 - Add the two like fractions:
294/1470 + 1440/1470 = 294 + 1440/1470 = 1734/1470 - 1734/1470 simplified gives 289/245
- So, 6/30 + 48/49 = 289/245
In mixed form: 144/245
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