Add 36/27 and 42/98
1st number: 1 9/27, 2nd number: 42/98
36/27 + 42/98 is 37/21.
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,
36/27 = 36 × 98/27 × 98 = 3528/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
42/98 = 42 × 27/98 × 27 = 1134/2646 - Add the two like fractions:
3528/2646 + 1134/2646 = 3528 + 1134/2646 = 4662/2646 - 4662/2646 simplified gives 37/21
- So, 36/27 + 42/98 = 37/21
In mixed form: 116/21
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