Add 40/27 and 7/84
1st number: 1 13/27, 2nd number: 7/84
40/27 + 7/84 is 169/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
40/27 = 40 × 28/27 × 28 = 1120/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
7/84 = 7 × 9/84 × 9 = 63/756 - Add the two like fractions:
1120/756 + 63/756 = 1120 + 63/756 = 1183/756 - 1183/756 simplified gives 169/108
- So, 40/27 + 7/84 = 169/108
In mixed form: 161/108
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