Add 4/45 and 21/35
4/45 + 21/35 is 31/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
4/45 = 4 × 7/45 × 7 = 28/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
21/35 = 21 × 9/35 × 9 = 189/315 - Add the two like fractions:
28/315 + 189/315 = 28 + 189/315 = 217/315 - 217/315 simplified gives 31/45
- So, 4/45 + 21/35 = 31/45
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