Add 45/84 and 45/20
1st number: 45/84, 2nd number: 2 5/20
45/84 + 45/20 is 39/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
45/20 = 45 × 21/20 × 21 = 945/420 - Add the two like fractions:
225/420 + 945/420 = 225 + 945/420 = 1170/420 - 1170/420 simplified gives 39/14
- So, 45/84 + 45/20 = 39/14
In mixed form: 211/14
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