Add 30/75 and 49/63
30/75 + 49/63 is 53/45.
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,
30/75 = 30 × 21/75 × 21 = 630/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
49/63 = 49 × 25/63 × 25 = 1225/1575 - Add the two like fractions:
630/1575 + 1225/1575 = 630 + 1225/1575 = 1855/1575 - 1855/1575 simplified gives 53/45
- So, 30/75 + 49/63 = 53/45
In mixed form: 18/45
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