Add 40/45 and 45/63
40/45 + 45/63 is 101/63.
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,
40/45 = 40 × 7/45 × 7 = 280/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
45/63 = 45 × 5/63 × 5 = 225/315 - Add the two like fractions:
280/315 + 225/315 = 280 + 225/315 = 505/315 - 505/315 simplified gives 101/63
- So, 40/45 + 45/63 = 101/63
In mixed form: 138/63
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