Add 36/42 and 49/4
1st number: 36/42, 2nd number: 12 1/4
36/42 + 49/4 is 367/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 4 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 42 × 2 = 84,
36/42 = 36 × 2/42 × 2 = 72/84 - Likewise, for the 2nd fraction, since 4 × 21 = 84,
49/4 = 49 × 21/4 × 21 = 1029/84 - Add the two like fractions:
72/84 + 1029/84 = 72 + 1029/84 = 1101/84 - 1101/84 simplified gives 367/28
- So, 36/42 + 49/4 = 367/28
In mixed form: 133/28
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