Add 49/4 and 40/42
1st number: 12 1/4, 2nd number: 40/42
49/4 + 40/42 is 1109/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
49/4 = 49 × 21/4 × 21 = 1029/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
40/42 = 40 × 2/42 × 2 = 80/84 - Add the two like fractions:
1029/84 + 80/84 = 1029 + 80/84 = 1109/84 - So, 49/4 + 40/42 = 1109/84
In mixed form: 1317/84
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