Add 30/27 and 40/84
1st number: 1 3/27, 2nd number: 40/84
30/27 + 40/84 is 100/63.
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,
30/27 = 30 × 28/27 × 28 = 840/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
40/84 = 40 × 9/84 × 9 = 360/756 - Add the two like fractions:
840/756 + 360/756 = 840 + 360/756 = 1200/756 - 1200/756 simplified gives 100/63
- So, 30/27 + 40/84 = 100/63
In mixed form: 137/63
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