Add 10/20 and 30/35
10/20 + 30/35 is 19/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 20 × 7 = 140,
10/20 = 10 × 7/20 × 7 = 70/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
30/35 = 30 × 4/35 × 4 = 120/140 - Add the two like fractions:
70/140 + 120/140 = 70 + 120/140 = 190/140 - 190/140 simplified gives 19/14
- So, 10/20 + 30/35 = 19/14
In mixed form: 15/14
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