Add 21/35 and 40/45
21/35 + 40/45 is 67/45.
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,
21/35 = 21 × 9/35 × 9 = 189/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
40/45 = 40 × 7/45 × 7 = 280/315 - Add the two like fractions:
189/315 + 280/315 = 189 + 280/315 = 469/315 - 469/315 simplified gives 67/45
- So, 21/35 + 40/45 = 67/45
In mixed form: 122/45
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