Add 40/35 and 9/49
1st number: 1 5/35, 2nd number: 9/49
40/35 + 9/49 is 65/49.
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,
40/35 = 40 × 7/35 × 7 = 280/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
9/49 = 9 × 5/49 × 5 = 45/245 - Add the two like fractions:
280/245 + 45/245 = 280 + 45/245 = 325/245 - 325/245 simplified gives 65/49
- So, 40/35 + 9/49 = 65/49
In mixed form: 116/49
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