Add 30/84 and 40/54
30/84 + 40/54 is 415/378.
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,
30/84 = 30 × 9/84 × 9 = 270/756 - Likewise, for the 2nd fraction, since 54 × 14 = 756,
40/54 = 40 × 14/54 × 14 = 560/756 - Add the two like fractions:
270/756 + 560/756 = 270 + 560/756 = 830/756 - 830/756 simplified gives 415/378
- So, 30/84 + 40/54 = 415/378
In mixed form: 137/378
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