Add 30/75 and 20/21
30/75 + 20/21 is 142/105.
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,
30/75 = 30 × 7/75 × 7 = 210/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
20/21 = 20 × 25/21 × 25 = 500/525 - Add the two like fractions:
210/525 + 500/525 = 210 + 500/525 = 710/525 - 710/525 simplified gives 142/105
- So, 30/75 + 20/21 = 142/105
In mixed form: 137/105
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