Add 7/27 and 84/98
7/27 + 84/98 is 211/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 98 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 27 × 98 = 2646,
7/27 = 7 × 98/27 × 98 = 686/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
84/98 = 84 × 27/98 × 27 = 2268/2646 - Add the two like fractions:
686/2646 + 2268/2646 = 686 + 2268/2646 = 2954/2646 - 2954/2646 simplified gives 211/189
- So, 7/27 + 84/98 = 211/189
In mixed form: 122/189
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