Add 40/20 and 9/42
1st number: 2 0/20, 2nd number: 9/42
40/20 + 9/42 is 31/14.
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,
40/20 = 40 × 21/20 × 21 = 840/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
9/42 = 9 × 10/42 × 10 = 90/420 - Add the two like fractions:
840/420 + 90/420 = 840 + 90/420 = 930/420 - 930/420 simplified gives 31/14
- So, 40/20 + 9/42 = 31/14
In mixed form: 23/14
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