Add 75/25 and 40/49
1st number: 3 0/25, 2nd number: 40/49
75/25 + 40/49 is 187/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225
Next, find the equivalent fraction of both fractional numbers with denominator 1225 - For the 1st fraction, since 25 × 49 = 1225,
75/25 = 75 × 49/25 × 49 = 3675/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
40/49 = 40 × 25/49 × 25 = 1000/1225 - Add the two like fractions:
3675/1225 + 1000/1225 = 3675 + 1000/1225 = 4675/1225 - 4675/1225 simplified gives 187/49
- So, 75/25 + 40/49 = 187/49
In mixed form: 340/49
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