Add 40/63 and 49/45
1st number: 40/63, 2nd number: 1 4/45
40/63 + 49/45 is 181/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 63 × 5 = 315,
40/63 = 40 × 5/63 × 5 = 200/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
49/45 = 49 × 7/45 × 7 = 343/315 - Add the two like fractions:
200/315 + 343/315 = 200 + 343/315 = 543/315 - 543/315 simplified gives 181/105
- So, 40/63 + 49/45 = 181/105
In mixed form: 176/105
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