Add 40/36 and 98/49
1st number: 1 4/36, 2nd number: 2 0/49
40/36 + 98/49 is 28/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 49 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 36 × 49 = 1764,
40/36 = 40 × 49/36 × 49 = 1960/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
98/49 = 98 × 36/49 × 36 = 3528/1764 - Add the two like fractions:
1960/1764 + 3528/1764 = 1960 + 3528/1764 = 5488/1764 - 5488/1764 simplified gives 28/9
- So, 40/36 + 98/49 = 28/9
In mixed form: 31/9
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