Add 49/75 and 35/63
49/75 + 35/63 is 272/225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 63 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 75 × 21 = 1575,
49/75 = 49 × 21/75 × 21 = 1029/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
35/63 = 35 × 25/63 × 25 = 875/1575 - Add the two like fractions:
1029/1575 + 875/1575 = 1029 + 875/1575 = 1904/1575 - 1904/1575 simplified gives 272/225
- So, 49/75 + 35/63 = 272/225
In mixed form: 147/225
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