Add 45/18 and 40/42
1st number: 2 9/18, 2nd number: 40/42
45/18 + 40/42 is 145/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
45/18 = 45 × 7/18 × 7 = 315/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
40/42 = 40 × 3/42 × 3 = 120/126 - Add the two like fractions:
315/126 + 120/126 = 315 + 120/126 = 435/126 - 435/126 simplified gives 145/42
- So, 45/18 + 40/42 = 145/42
In mixed form: 319/42
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