Add 10/75 and 21/63
10/75 + 21/63 is 7/15.
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,
10/75 = 10 × 21/75 × 21 = 210/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
21/63 = 21 × 25/63 × 25 = 525/1575 - Add the two like fractions:
210/1575 + 525/1575 = 210 + 525/1575 = 735/1575 - 735/1575 simplified gives 7/15
- So, 10/75 + 21/63 = 7/15
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