Add 54/84 and 75/35
1st number: 54/84, 2nd number: 2 5/35
54/84 + 75/35 is 39/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 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 35 × 12 = 420,
75/35 = 75 × 12/35 × 12 = 900/420 - Add the two like fractions:
270/420 + 900/420 = 270 + 900/420 = 1170/420 - 1170/420 simplified gives 39/14
- So, 54/84 + 75/35 = 39/14
In mixed form: 211/14
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