Add 75/25 and 56/49
1st number: 3 0/25, 2nd number: 1 7/49
75/25 + 56/49 is 29/7.
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,
56/49 = 56 × 25/49 × 25 = 1400/1225 - Add the two like fractions:
3675/1225 + 1400/1225 = 3675 + 1400/1225 = 5075/1225 - 5075/1225 simplified gives 29/7
- So, 75/25 + 56/49 = 29/7
In mixed form: 41/7
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