Add 20/84 and 54/70
20/84 + 54/70 is 106/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
20/84 = 20 × 5/84 × 5 = 100/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
54/70 = 54 × 6/70 × 6 = 324/420 - Add the two like fractions:
100/420 + 324/420 = 100 + 324/420 = 424/420 - 424/420 simplified gives 106/105
- So, 20/84 + 54/70 = 106/105
In mixed form: 11/105
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