Add 36/45 and 49/84
36/45 + 49/84 is 83/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
36/45 = 36 × 28/45 × 28 = 1008/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
49/84 = 49 × 15/84 × 15 = 735/1260 - Add the two like fractions:
1008/1260 + 735/1260 = 1008 + 735/1260 = 1743/1260 - 1743/1260 simplified gives 83/60
- So, 36/45 + 49/84 = 83/60
In mixed form: 123/60
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