Add 10/75 and 30/63
10/75 + 30/63 is 64/105.
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,
30/63 = 30 × 25/63 × 25 = 750/1575 - Add the two like fractions:
210/1575 + 750/1575 = 210 + 750/1575 = 960/1575 - 960/1575 simplified gives 64/105
- So, 10/75 + 30/63 = 64/105
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