Add 12/35 and 21/45
12/35 + 21/45 is 17/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
12/35 = 12 × 9/35 × 9 = 108/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315 - Add the two like fractions:
108/315 + 147/315 = 108 + 147/315 = 255/315 - 255/315 simplified gives 17/21
- So, 12/35 + 21/45 = 17/21
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