Add 75/28 and 45/49
1st number: 2 19/28, 2nd number: 45/49
75/28 + 45/49 is 705/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 28 × 7 = 196,
75/28 = 75 × 7/28 × 7 = 525/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
45/49 = 45 × 4/49 × 4 = 180/196 - Add the two like fractions:
525/196 + 180/196 = 525 + 180/196 = 705/196 - So, 75/28 + 45/49 = 705/196
In mixed form: 3117/196
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