Add 40/9 and 45/42
1st number: 4 4/9, 2nd number: 1 3/42
40/9 + 45/42 is 695/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
40/9 = 40 × 14/9 × 14 = 560/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
45/42 = 45 × 3/42 × 3 = 135/126 - Add the two like fractions:
560/126 + 135/126 = 560 + 135/126 = 695/126 - So, 40/9 + 45/42 = 695/126
In mixed form: 565/126
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