Add 36/84 and 49/54
36/84 + 49/54 is 505/378.
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,
36/84 = 36 × 9/84 × 9 = 324/756 - Likewise, for the 2nd fraction, since 54 × 14 = 756,
49/54 = 49 × 14/54 × 14 = 686/756 - Add the two like fractions:
324/756 + 686/756 = 324 + 686/756 = 1010/756 - 1010/756 simplified gives 505/378
- So, 36/84 + 49/54 = 505/378
In mixed form: 1127/378
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