Add 8/14 and 21/45
8/14 + 21/45 is 109/105.
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,
8/14 = 8 × 45/14 × 45 = 360/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
21/45 = 21 × 14/45 × 14 = 294/630 - Add the two like fractions:
360/630 + 294/630 = 360 + 294/630 = 654/630 - 654/630 simplified gives 109/105
- So, 8/14 + 21/45 = 109/105
In mixed form: 14/105
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