Add 40/12 and 45/35
1st number: 3 4/12, 2nd number: 1 10/35
40/12 + 45/35 is 97/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
40/12 = 40 × 35/12 × 35 = 1400/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
45/35 = 45 × 12/35 × 12 = 540/420 - Add the two like fractions:
1400/420 + 540/420 = 1400 + 540/420 = 1940/420 - 1940/420 simplified gives 97/21
- So, 40/12 + 45/35 = 97/21
In mixed form: 413/21
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