Add 45/84 and 49/14
1st number: 45/84, 2nd number: 3 7/14
45/84 + 49/14 is 113/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 14 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
45/84 = 45 × 1/84 × 1 = 45/84 - Likewise, for the 2nd fraction, since 14 × 6 = 84,
49/14 = 49 × 6/14 × 6 = 294/84 - Add the two like fractions:
45/84 + 294/84 = 45 + 294/84 = 339/84 - 339/84 simplified gives 113/28
- So, 45/84 + 49/14 = 113/28
In mixed form: 41/28
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