Add 45/63 and 63/75
45/63 + 63/75 is 272/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 75 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 63 × 25 = 1575,
45/63 = 45 × 25/63 × 25 = 1125/1575 - Likewise, for the 2nd fraction, since 75 × 21 = 1575,
63/75 = 63 × 21/75 × 21 = 1323/1575 - Add the two like fractions:
1125/1575 + 1323/1575 = 1125 + 1323/1575 = 2448/1575 - 2448/1575 simplified gives 272/175
- So, 45/63 + 63/75 = 272/175
In mixed form: 197/175
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