Add 40/75 and 45/21
1st number: 40/75, 2nd number: 2 3/21
40/75 + 45/21 is 281/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
40/75 = 40 × 7/75 × 7 = 280/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
45/21 = 45 × 25/21 × 25 = 1125/525 - Add the two like fractions:
280/525 + 1125/525 = 280 + 1125/525 = 1405/525 - 1405/525 simplified gives 281/105
- So, 40/75 + 45/21 = 281/105
In mixed form: 271/105
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