Add 20/21 and 6/45
20/21 + 6/45 is 38/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
20/21 = 20 × 15/21 × 15 = 300/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
6/45 = 6 × 7/45 × 7 = 42/315 - Add the two like fractions:
300/315 + 42/315 = 300 + 42/315 = 342/315 - 342/315 simplified gives 38/35
- So, 20/21 + 6/45 = 38/35
In mixed form: 13/35
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