Add 35/10 and 45/42
1st number: 3 5/10, 2nd number: 1 3/42
35/10 + 45/42 is 32/7.
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,
35/10 = 35 × 21/10 × 21 = 735/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210 - Add the two like fractions:
735/210 + 225/210 = 735 + 225/210 = 960/210 - 960/210 simplified gives 32/7
- So, 35/10 + 45/42 = 32/7
In mixed form: 44/7
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