Add 75/96 and 49/63
75/96 + 49/63 is 449/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 63 is 2016
Next, find the equivalent fraction of both fractional numbers with denominator 2016 - For the 1st fraction, since 96 × 21 = 2016,
75/96 = 75 × 21/96 × 21 = 1575/2016 - Likewise, for the 2nd fraction, since 63 × 32 = 2016,
49/63 = 49 × 32/63 × 32 = 1568/2016 - Add the two like fractions:
1575/2016 + 1568/2016 = 1575 + 1568/2016 = 3143/2016 - 3143/2016 simplified gives 449/288
- So, 75/96 + 49/63 = 449/288
In mixed form: 1161/288
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/96+98/63