Add 21/75 and 54/63
21/75 + 54/63 is 199/175.
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,
21/75 = 21 × 21/75 × 21 = 441/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
54/63 = 54 × 25/63 × 25 = 1350/1575 - Add the two like fractions:
441/1575 + 1350/1575 = 441 + 1350/1575 = 1791/1575 - 1791/1575 simplified gives 199/175
- So, 21/75 + 54/63 = 199/175
In mixed form: 124/175
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