Add 1/30 and 45/42
1st number: 1/30, 2nd number: 1 3/42
1/30 + 45/42 is 116/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
1/30 = 1 × 7/30 × 7 = 7/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210 - Add the two like fractions:
7/210 + 225/210 = 7 + 225/210 = 232/210 - 232/210 simplified gives 116/105
- So, 1/30 + 45/42 = 116/105
In mixed form: 111/105
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