Add 4/21 and 9/45
4/21 + 9/45 is 41/105.
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,
4/21 = 4 × 15/21 × 15 = 60/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
9/45 = 9 × 7/45 × 7 = 63/315 - Add the two like fractions:
60/315 + 63/315 = 60 + 63/315 = 123/315 - 123/315 simplified gives 41/105
- So, 4/21 + 9/45 = 41/105
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