Add 36/63 and 42/75
36/63 + 42/75 is 198/175.
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,
36/63 = 36 × 25/63 × 25 = 900/1575 - Likewise, for the 2nd fraction, since 75 × 21 = 1575,
42/75 = 42 × 21/75 × 21 = 882/1575 - Add the two like fractions:
900/1575 + 882/1575 = 900 + 882/1575 = 1782/1575 - 1782/1575 simplified gives 198/175
- So, 36/63 + 42/75 = 198/175
In mixed form: 123/175
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