Add 45/75 and 20/63
45/75 + 20/63 is 289/315.
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,
45/75 = 45 × 21/75 × 21 = 945/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
20/63 = 20 × 25/63 × 25 = 500/1575 - Add the two like fractions:
945/1575 + 500/1575 = 945 + 500/1575 = 1445/1575 - 1445/1575 simplified gives 289/315
- So, 45/75 + 20/63 = 289/315
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