Add 8/30 and 21/42
8/30 + 21/42 is 23/30.
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,
8/30 = 8 × 7/30 × 7 = 56/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
21/42 = 21 × 5/42 × 5 = 105/210 - Add the two like fractions:
56/210 + 105/210 = 56 + 105/210 = 161/210 - 161/210 simplified gives 23/30
- So, 8/30 + 21/42 = 23/30
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