Add 30/42 and 1/20
30/42 + 1/20 is 107/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 42 × 10 = 420,
30/42 = 30 × 10/42 × 10 = 300/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
1/20 = 1 × 21/20 × 21 = 21/420 - Add the two like fractions:
300/420 + 21/420 = 300 + 21/420 = 321/420 - 321/420 simplified gives 107/140
- So, 30/42 + 1/20 = 107/140
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