Add 2/5 and 30/42
2/5 + 30/42 is 39/35.
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,
2/5 = 2 × 42/5 × 42 = 84/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Add the two like fractions:
84/210 + 150/210 = 84 + 150/210 = 234/210 - 234/210 simplified gives 39/35
- So, 2/5 + 30/42 = 39/35
In mixed form: 14/35
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