Add 10/21 and 40/75
10/21 + 40/75 is 106/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 75 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 21 × 25 = 525,
10/21 = 10 × 25/21 × 25 = 250/525 - Likewise, for the 2nd fraction, since 75 × 7 = 525,
40/75 = 40 × 7/75 × 7 = 280/525 - Add the two like fractions:
250/525 + 280/525 = 250 + 280/525 = 530/525 - 530/525 simplified gives 106/105
- So, 10/21 + 40/75 = 106/105
In mixed form: 11/105
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