Add 21/35 and 28/45
21/35 + 28/45 is 11/9.
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,
28/45 = 28 × 7/45 × 7 = 196/315 - Add the two like fractions:
189/315 + 196/315 = 189 + 196/315 = 385/315 - 385/315 simplified gives 11/9
- So, 21/35 + 28/45 = 11/9
In mixed form: 12/9
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