Add 42/5 and 84/27
1st number: 8 2/5, 2nd number: 3 3/27
42/5 + 84/27 is 518/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 5 × 27 = 135,
42/5 = 42 × 27/5 × 27 = 1134/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
84/27 = 84 × 5/27 × 5 = 420/135 - Add the two like fractions:
1134/135 + 420/135 = 1134 + 420/135 = 1554/135 - 1554/135 simplified gives 518/45
- So, 42/5 + 84/27 = 518/45
In mixed form: 1123/45
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