Add 42/63 and 49/75
42/63 + 49/75 is 33/25.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 75 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 63 × 25 = 1575,
42/63 = 42 × 25/63 × 25 = 1050/1575 - Likewise, for the 2nd fraction, since 75 × 21 = 1575,
49/75 = 49 × 21/75 × 21 = 1029/1575 - Add the two like fractions:
1050/1575 + 1029/1575 = 1050 + 1029/1575 = 2079/1575 - 2079/1575 simplified gives 33/25
- So, 42/63 + 49/75 = 33/25
In mixed form: 18/25
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