Add 30/35 and 40/45
30/35 + 40/45 is 110/63.
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,
30/35 = 30 × 9/35 × 9 = 270/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
40/45 = 40 × 7/45 × 7 = 280/315 - Add the two like fractions:
270/315 + 280/315 = 270 + 280/315 = 550/315 - 550/315 simplified gives 110/63
- So, 30/35 + 40/45 = 110/63
In mixed form: 147/63
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