Add 42/8 and 75/27
1st number: 5 2/8, 2nd number: 2 21/27
42/8 + 75/27 is 289/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
42/8 = 42 × 27/8 × 27 = 1134/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
75/27 = 75 × 8/27 × 8 = 600/216 - Add the two like fractions:
1134/216 + 600/216 = 1134 + 600/216 = 1734/216 - 1734/216 simplified gives 289/36
- So, 42/8 + 75/27 = 289/36
In mixed form: 81/36
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