Add 10/75 and 30/21
1st number: 10/75, 2nd number: 1 9/21
10/75 + 30/21 is 164/105.
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,
10/75 = 10 × 7/75 × 7 = 70/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
30/21 = 30 × 25/21 × 25 = 750/525 - Add the two like fractions:
70/525 + 750/525 = 70 + 750/525 = 820/525 - 820/525 simplified gives 164/105
- So, 10/75 + 30/21 = 164/105
In mixed form: 159/105
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