Add 28/49 and 45/48
28/49 + 45/48 is 169/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 48 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 49 × 48 = 2352,
28/49 = 28 × 48/49 × 48 = 1344/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
45/48 = 45 × 49/48 × 49 = 2205/2352 - Add the two like fractions:
1344/2352 + 2205/2352 = 1344 + 2205/2352 = 3549/2352 - 3549/2352 simplified gives 169/112
- So, 28/49 + 45/48 = 169/112
In mixed form: 157/112
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