Add 8/49 and 21/45
8/49 + 21/45 is 463/735.
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,
8/49 = 8 × 45/49 × 45 = 360/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
21/45 = 21 × 49/45 × 49 = 1029/2205 - Add the two like fractions:
360/2205 + 1029/2205 = 360 + 1029/2205 = 1389/2205 - 1389/2205 simplified gives 463/735
- So, 8/49 + 21/45 = 463/735
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