Add 10/35 and 75/49
1st number: 10/35, 2nd number: 1 26/49
10/35 + 75/49 is 89/49.
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,
10/35 = 10 × 7/35 × 7 = 70/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
75/49 = 75 × 5/49 × 5 = 375/245 - Add the two like fractions:
70/245 + 375/245 = 70 + 375/245 = 445/245 - 445/245 simplified gives 89/49
- So, 10/35 + 75/49 = 89/49
In mixed form: 140/49
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