Add 40/12 and 90/21
1st number: 3 4/12, 2nd number: 4 6/21
40/12 + 90/21 is 160/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 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 21 × 4 = 84,
90/21 = 90 × 4/21 × 4 = 360/84 - Add the two like fractions:
280/84 + 360/84 = 280 + 360/84 = 640/84 - 640/84 simplified gives 160/21
- So, 40/12 + 90/21 = 160/21
In mixed form: 713/21
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