Add 40/54 and 21/84
40/54 + 21/84 is 107/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 54 × 14 = 756,
40/54 = 40 × 14/54 × 14 = 560/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
21/84 = 21 × 9/84 × 9 = 189/756 - Add the two like fractions:
560/756 + 189/756 = 560 + 189/756 = 749/756 - 749/756 simplified gives 107/108
- So, 40/54 + 21/84 = 107/108
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