Add 45/48 and 16/49
45/48 + 16/49 is 991/784.
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,
16/49 = 16 × 48/49 × 48 = 768/2352 - Add the two like fractions:
2205/2352 + 768/2352 = 2205 + 768/2352 = 2973/2352 - 2973/2352 simplified gives 991/784
- So, 45/48 + 16/49 = 991/784
In mixed form: 1207/784
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