Add 7/21 and 16/45
7/21 + 16/45 is 31/45.
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,
7/21 = 7 × 15/21 × 15 = 105/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
16/45 = 16 × 7/45 × 7 = 112/315 - Add the two like fractions:
105/315 + 112/315 = 105 + 112/315 = 217/315 - 217/315 simplified gives 31/45
- So, 7/21 + 16/45 = 31/45
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