Add 1/84 and 84/45
1st number: 1/84, 2nd number: 1 39/45
1/84 + 84/45 is 263/140.
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,
1/84 = 1 × 15/84 × 15 = 15/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
84/45 = 84 × 28/45 × 28 = 2352/1260 - Add the two like fractions:
15/1260 + 2352/1260 = 15 + 2352/1260 = 2367/1260 - 2367/1260 simplified gives 263/140
- So, 1/84 + 84/45 = 263/140
In mixed form: 1123/140
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