Add 40/12 and 45/7
1st number: 3 4/12, 2nd number: 6 3/7
40/12 + 45/7 is 205/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 7 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
40/12 = 40 × 7/12 × 7 = 280/84 - Likewise, for the 2nd fraction, since 7 × 12 = 84,
45/7 = 45 × 12/7 × 12 = 540/84 - Add the two like fractions:
280/84 + 540/84 = 280 + 540/84 = 820/84 - 820/84 simplified gives 205/21
- So, 40/12 + 45/7 = 205/21
In mixed form: 916/21
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