Add 30/14 and 8/45
1st number: 2 2/14, 2nd number: 8/45
30/14 + 8/45 is 731/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 14 × 45 = 630,
30/14 = 30 × 45/14 × 45 = 1350/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
8/45 = 8 × 14/45 × 14 = 112/630 - Add the two like fractions:
1350/630 + 112/630 = 1350 + 112/630 = 1462/630 - 1462/630 simplified gives 731/315
- So, 30/14 + 8/45 = 731/315
In mixed form: 2101/315
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