Add 40/84 and 45/54
40/84 + 45/54 is 55/42.
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,
45/54 = 45 × 14/54 × 14 = 630/756 - Add the two like fractions:
360/756 + 630/756 = 360 + 630/756 = 990/756 - 990/756 simplified gives 55/42
- So, 40/84 + 45/54 = 55/42
In mixed form: 113/42
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