Add 27/49 and 40/45
27/49 + 40/45 is 635/441.
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,
27/49 = 27 × 45/49 × 45 = 1215/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
40/45 = 40 × 49/45 × 49 = 1960/2205 - Add the two like fractions:
1215/2205 + 1960/2205 = 1215 + 1960/2205 = 3175/2205 - 3175/2205 simplified gives 635/441
- So, 27/49 + 40/45 = 635/441
In mixed form: 1194/441
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