Add 2/49 and 45/48
2/49 + 45/48 is 767/784.
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,
2/49 = 2 × 48/49 × 48 = 96/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
45/48 = 45 × 49/48 × 49 = 2205/2352 - Add the two like fractions:
96/2352 + 2205/2352 = 96 + 2205/2352 = 2301/2352 - 2301/2352 simplified gives 767/784
- So, 2/49 + 45/48 = 767/784
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