Add 10/20 and 30/45
10/20 + 30/45 is 7/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
10/20 = 10 × 9/20 × 9 = 90/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
30/45 = 30 × 4/45 × 4 = 120/180 - Add the two like fractions:
90/180 + 120/180 = 90 + 120/180 = 210/180 - 210/180 simplified gives 7/6
- So, 10/20 + 30/45 = 7/6
In mixed form: 11/6
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