Add 49/10 and 45/42
1st number: 4 9/10, 2nd number: 1 3/42
49/10 + 45/42 is 209/35.
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,
49/10 = 49 × 21/10 × 21 = 1029/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210 - Add the two like fractions:
1029/210 + 225/210 = 1029 + 225/210 = 1254/210 - 1254/210 simplified gives 209/35
- So, 49/10 + 45/42 = 209/35
In mixed form: 534/35
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