Add 54/63 and 30/75
54/63 + 30/75 is 44/35.
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,
54/63 = 54 × 25/63 × 25 = 1350/1575 - Likewise, for the 2nd fraction, since 75 × 21 = 1575,
30/75 = 30 × 21/75 × 21 = 630/1575 - Add the two like fractions:
1350/1575 + 630/1575 = 1350 + 630/1575 = 1980/1575 - 1980/1575 simplified gives 44/35
- So, 54/63 + 30/75 = 44/35
In mixed form: 19/35
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