Add 40/84 and 42/54
40/84 + 42/54 is 79/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 54 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
40/84 = 40 × 9/84 × 9 = 360/756 - Likewise, for the 2nd fraction, since 54 × 14 = 756,
42/54 = 42 × 14/54 × 14 = 588/756 - Add the two like fractions:
360/756 + 588/756 = 360 + 588/756 = 948/756 - 948/756 simplified gives 79/63
- So, 40/84 + 42/54 = 79/63
In mixed form: 116/63
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