Add 7/49 and 21/45
7/49 + 21/45 is 64/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
7/49 = 7 × 45/49 × 45 = 315/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
21/45 = 21 × 49/45 × 49 = 1029/2205 - Add the two like fractions:
315/2205 + 1029/2205 = 315 + 1029/2205 = 1344/2205 - 1344/2205 simplified gives 64/105
- So, 7/49 + 21/45 = 64/105
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