Add 40/35 and 45/49
1st number: 1 5/35, 2nd number: 45/49
40/35 + 45/49 is 101/49.
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,
45/49 = 45 × 5/49 × 5 = 225/245 - Add the two like fractions:
280/245 + 225/245 = 280 + 225/245 = 505/245 - 505/245 simplified gives 101/49
- So, 40/35 + 45/49 = 101/49
In mixed form: 23/49
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