Add 9/35 and 21/45
9/35 + 21/45 is 76/105.
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,
9/35 = 9 × 9/35 × 9 = 81/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315 - Add the two like fractions:
81/315 + 147/315 = 81 + 147/315 = 228/315 - 228/315 simplified gives 76/105
- So, 9/35 + 21/45 = 76/105
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