Add 10/30 and 30/42
10/30 + 30/42 is 22/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Add the two like fractions:
70/210 + 150/210 = 70 + 150/210 = 220/210 - 220/210 simplified gives 22/21
- So, 10/30 + 30/42 = 22/21
In mixed form: 11/21
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