Add 45/36 and 10/49
1st number: 1 9/36, 2nd number: 10/49
45/36 + 10/49 is 285/196.
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,
45/36 = 45 × 49/36 × 49 = 2205/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
10/49 = 10 × 36/49 × 36 = 360/1764 - Add the two like fractions:
2205/1764 + 360/1764 = 2205 + 360/1764 = 2565/1764 - 2565/1764 simplified gives 285/196
- So, 45/36 + 10/49 = 285/196
In mixed form: 189/196
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