Add 40/48 and 45/49
40/48 + 45/49 is 515/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 49 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 48 × 49 = 2352,
40/48 = 40 × 49/48 × 49 = 1960/2352 - Likewise, for the 2nd fraction, since 49 × 48 = 2352,
45/49 = 45 × 48/49 × 48 = 2160/2352 - Add the two like fractions:
1960/2352 + 2160/2352 = 1960 + 2160/2352 = 4120/2352 - 4120/2352 simplified gives 515/294
- So, 40/48 + 45/49 = 515/294
In mixed form: 1221/294
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