Add 45/48 and 48/49
45/48 + 48/49 is 1503/784.
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,
45/48 = 45 × 49/48 × 49 = 2205/2352 - Likewise, for the 2nd fraction, since 49 × 48 = 2352,
48/49 = 48 × 48/49 × 48 = 2304/2352 - Add the two like fractions:
2205/2352 + 2304/2352 = 2205 + 2304/2352 = 4509/2352 - 4509/2352 simplified gives 1503/784
- So, 45/48 + 48/49 = 1503/784
In mixed form: 1719/784
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