Add 35/21 and 14/45
1st number: 1 14/21, 2nd number: 14/45
35/21 + 14/45 is 89/45.
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,
35/21 = 35 × 15/21 × 15 = 525/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
14/45 = 14 × 7/45 × 7 = 98/315 - Add the two like fractions:
525/315 + 98/315 = 525 + 98/315 = 623/315 - 623/315 simplified gives 89/45
- So, 35/21 + 14/45 = 89/45
In mixed form: 144/45
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