Add 4/49 and 42/45
4/49 + 42/45 is 746/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
4/49 = 4 × 45/49 × 45 = 180/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
42/45 = 42 × 49/45 × 49 = 2058/2205 - Add the two like fractions:
180/2205 + 2058/2205 = 180 + 2058/2205 = 2238/2205 - 2238/2205 simplified gives 746/735
- So, 4/49 + 42/45 = 746/735
In mixed form: 111/735
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