Add 84/40 and 72/49
1st number: 2 4/40, 2nd number: 1 23/49
84/40 + 72/49 is 1749/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
84/40 = 84 × 49/40 × 49 = 4116/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
72/49 = 72 × 40/49 × 40 = 2880/1960 - Add the two like fractions:
4116/1960 + 2880/1960 = 4116 + 2880/1960 = 6996/1960 - 6996/1960 simplified gives 1749/490
- So, 84/40 + 72/49 = 1749/490
In mixed form: 3279/490
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