Add 40/21 and 35/45
1st number: 1 19/21, 2nd number: 35/45
40/21 + 35/45 is 169/63.
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,
40/21 = 40 × 15/21 × 15 = 600/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
35/45 = 35 × 7/45 × 7 = 245/315 - Add the two like fractions:
600/315 + 245/315 = 600 + 245/315 = 845/315 - 845/315 simplified gives 169/63
- So, 40/21 + 35/45 = 169/63
In mixed form: 243/63
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