Add 36/10 and 21/42
1st number: 3 6/10, 2nd number: 21/42
36/10 + 21/42 is 41/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
36/10 = 36 × 21/10 × 21 = 756/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
21/42 = 21 × 5/42 × 5 = 105/210 - Add the two like fractions:
756/210 + 105/210 = 756 + 105/210 = 861/210 - 861/210 simplified gives 41/10
- So, 36/10 + 21/42 = 41/10
In mixed form: 41/10
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