Add 21/5 and 30/42
1st number: 4 1/5, 2nd number: 30/42
21/5 + 30/42 is 172/35.
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,
21/5 = 21 × 42/5 × 42 = 882/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Add the two like fractions:
882/210 + 150/210 = 882 + 150/210 = 1032/210 - 1032/210 simplified gives 172/35
- So, 21/5 + 30/42 = 172/35
In mixed form: 432/35
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