Add 7/30 and 45/98
7/30 + 45/98 is 509/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 98 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
7/30 = 7 × 49/30 × 49 = 343/1470 - Likewise, for the 2nd fraction, since 98 × 15 = 1470,
45/98 = 45 × 15/98 × 15 = 675/1470 - Add the two like fractions:
343/1470 + 675/1470 = 343 + 675/1470 = 1018/1470 - 1018/1470 simplified gives 509/735
- So, 7/30 + 45/98 = 509/735
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