Add 20/75 and 30/35
20/75 + 30/35 is 118/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
20/75 = 20 × 7/75 × 7 = 140/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
30/35 = 30 × 15/35 × 15 = 450/525 - Add the two like fractions:
140/525 + 450/525 = 140 + 450/525 = 590/525 - 590/525 simplified gives 118/105
- So, 20/75 + 30/35 = 118/105
In mixed form: 113/105
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