Add 72/45 and 9/84
1st number: 1 27/45, 2nd number: 9/84
72/45 + 9/84 is 239/140.
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,
72/45 = 72 × 28/45 × 28 = 2016/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
9/84 = 9 × 15/84 × 15 = 135/1260 - Add the two like fractions:
2016/1260 + 135/1260 = 2016 + 135/1260 = 2151/1260 - 2151/1260 simplified gives 239/140
- So, 72/45 + 9/84 = 239/140
In mixed form: 199/140
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