Add 27/5 and 30/42
1st number: 5 2/5, 2nd number: 30/42
27/5 + 30/42 is 214/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 5 × 42 = 210,
27/5 = 27 × 42/5 × 42 = 1134/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Add the two like fractions:
1134/210 + 150/210 = 1134 + 150/210 = 1284/210 - 1284/210 simplified gives 214/35
- So, 27/5 + 30/42 = 214/35
In mixed form: 64/35
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