Add 54/84 and 27/70
54/84 + 27/70 is 36/35.
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,
54/84 = 54 × 5/84 × 5 = 270/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
27/70 = 27 × 6/70 × 6 = 162/420 - Add the two like fractions:
270/420 + 162/420 = 270 + 162/420 = 432/420 - 432/420 simplified gives 36/35
- So, 54/84 + 27/70 = 36/35
In mixed form: 11/35
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