Add 20/30 and 1/45
20/30 + 1/45 is 31/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
20/30 = 20 × 3/30 × 3 = 60/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
1/45 = 1 × 2/45 × 2 = 2/90 - Add the two like fractions:
60/90 + 2/90 = 60 + 2/90 = 62/90 - 62/90 simplified gives 31/45
- So, 20/30 + 1/45 = 31/45
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