Add 21/14 and 40/30
1st number: 1 7/14, 2nd number: 1 10/30
21/14 + 40/30 is 17/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
21/14 = 21 × 15/14 × 15 = 315/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Add the two like fractions:
315/210 + 280/210 = 315 + 280/210 = 595/210 - 595/210 simplified gives 17/6
- So, 21/14 + 40/30 = 17/6
In mixed form: 25/6
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