Add 72/84 and 12/45
72/84 + 12/45 is 118/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
72/84 = 72 × 15/84 × 15 = 1080/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
12/45 = 12 × 28/45 × 28 = 336/1260 - Add the two like fractions:
1080/1260 + 336/1260 = 1080 + 336/1260 = 1416/1260 - 1416/1260 simplified gives 118/105
- So, 72/84 + 12/45 = 118/105
In mixed form: 113/105
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