Add 28/49 and 14/45
28/49 + 14/45 is 278/315.
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,
28/49 = 28 × 45/49 × 45 = 1260/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
14/45 = 14 × 49/45 × 49 = 686/2205 - Add the two like fractions:
1260/2205 + 686/2205 = 1260 + 686/2205 = 1946/2205 - 1946/2205 simplified gives 278/315
- So, 28/49 + 14/45 = 278/315
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