Add 40/84 and 30/7
1st number: 40/84, 2nd number: 4 2/7
40/84 + 30/7 is 100/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 7 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
40/84 = 40 × 1/84 × 1 = 40/84 - Likewise, for the 2nd fraction, since 7 × 12 = 84,
30/7 = 30 × 12/7 × 12 = 360/84 - Add the two like fractions:
40/84 + 360/84 = 40 + 360/84 = 400/84 - 400/84 simplified gives 100/21
- So, 40/84 + 30/7 = 100/21
In mixed form: 416/21
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