Add 42/21 and 40/30
1st number: 2 0/21, 2nd number: 1 10/30
42/21 + 40/30 is 10/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 21 × 10 = 210,
42/21 = 42 × 10/21 × 10 = 420/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Add the two like fractions:
420/210 + 280/210 = 420 + 280/210 = 700/210 - 700/210 simplified gives 10/3
- So, 42/21 + 40/30 = 10/3
In mixed form: 31/3
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