Add 40/75 and 81/49
1st number: 40/75, 2nd number: 1 32/49
40/75 + 81/49 is 1607/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
40/75 = 40 × 49/75 × 49 = 1960/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
81/49 = 81 × 75/49 × 75 = 6075/3675 - Add the two like fractions:
1960/3675 + 6075/3675 = 1960 + 6075/3675 = 8035/3675 - 8035/3675 simplified gives 1607/735
- So, 40/75 + 81/49 = 1607/735
In mixed form: 2137/735
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