Add 49/14 and 75/72
1st number: 3 7/14, 2nd number: 1 3/72
49/14 + 75/72 is 109/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 14 × 36 = 504,
49/14 = 49 × 36/14 × 36 = 1764/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
75/72 = 75 × 7/72 × 7 = 525/504 - Add the two like fractions:
1764/504 + 525/504 = 1764 + 525/504 = 2289/504 - 2289/504 simplified gives 109/24
- So, 49/14 + 75/72 = 109/24
In mixed form: 413/24
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