Add 72/84 and 8/45
72/84 + 8/45 is 326/315.
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,
8/45 = 8 × 28/45 × 28 = 224/1260 - Add the two like fractions:
1080/1260 + 224/1260 = 1080 + 224/1260 = 1304/1260 - 1304/1260 simplified gives 326/315
- So, 72/84 + 8/45 = 326/315
In mixed form: 111/315
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