Add 75/35 and 56/49
1st number: 2 5/35, 2nd number: 1 7/49
75/35 + 56/49 is 23/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
75/35 = 75 × 7/35 × 7 = 525/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
56/49 = 56 × 5/49 × 5 = 280/245 - Add the two like fractions:
525/245 + 280/245 = 525 + 280/245 = 805/245 - 805/245 simplified gives 23/7
- So, 75/35 + 56/49 = 23/7
In mixed form: 32/7
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