Add 40/30 and 27/84
1st number: 1 10/30, 2nd number: 27/84
40/30 + 27/84 is 139/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
40/30 = 40 × 14/30 × 14 = 560/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
27/84 = 27 × 5/84 × 5 = 135/420 - Add the two like fractions:
560/420 + 135/420 = 560 + 135/420 = 695/420 - 695/420 simplified gives 139/84
- So, 40/30 + 27/84 = 139/84
In mixed form: 155/84
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