Add 30/20 and 40/84
1st number: 1 10/20, 2nd number: 40/84
30/20 + 40/84 is 83/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
30/20 = 30 × 21/20 × 21 = 630/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
630/420 + 200/420 = 630 + 200/420 = 830/420 - 830/420 simplified gives 83/42
- So, 30/20 + 40/84 = 83/42
In mixed form: 141/42
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