Add 60/75 and 42/63
60/75 + 42/63 is 22/15.
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,
60/75 = 60 × 21/75 × 21 = 1260/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
42/63 = 42 × 25/63 × 25 = 1050/1575 - Add the two like fractions:
1260/1575 + 1050/1575 = 1260 + 1050/1575 = 2310/1575 - 2310/1575 simplified gives 22/15
- So, 60/75 + 42/63 = 22/15
In mixed form: 17/15
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