Add 7/30 and 45/42
1st number: 7/30, 2nd number: 1 3/42
7/30 + 45/42 is 137/105.
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,
7/30 = 7 × 7/30 × 7 = 49/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210 - Add the two like fractions:
49/210 + 225/210 = 49 + 225/210 = 274/210 - 274/210 simplified gives 137/105
- So, 7/30 + 45/42 = 137/105
In mixed form: 132/105
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