Add 9/45 and 20/21
9/45 + 20/21 is 121/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
9/45 = 9 × 7/45 × 7 = 63/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
20/21 = 20 × 15/21 × 15 = 300/315 - Add the two like fractions:
63/315 + 300/315 = 63 + 300/315 = 363/315 - 363/315 simplified gives 121/105
- So, 9/45 + 20/21 = 121/105
In mixed form: 116/105
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