Add 9/20 and 35/42
9/20 + 35/42 is 77/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
9/20 = 9 × 21/20 × 21 = 189/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
35/42 = 35 × 10/42 × 10 = 350/420 - Add the two like fractions:
189/420 + 350/420 = 189 + 350/420 = 539/420 - 539/420 simplified gives 77/60
- So, 9/20 + 35/42 = 77/60
In mixed form: 117/60
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