Add 35/45 and 42/63
35/45 + 42/63 is 13/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
35/45 = 35 × 7/45 × 7 = 245/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
42/63 = 42 × 5/63 × 5 = 210/315 - Add the two like fractions:
245/315 + 210/315 = 245 + 210/315 = 455/315 - 455/315 simplified gives 13/9
- So, 35/45 + 42/63 = 13/9
In mixed form: 14/9
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