Add 9/49 and 14/64
9/49 + 14/64 is 631/1568.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 64 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 49 × 64 = 3136,
9/49 = 9 × 64/49 × 64 = 576/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
14/64 = 14 × 49/64 × 49 = 686/3136 - Add the two like fractions:
576/3136 + 686/3136 = 576 + 686/3136 = 1262/3136 - 1262/3136 simplified gives 631/1568
- So, 9/49 + 14/64 = 631/1568
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/49+14/64 9/49+28/64 9/98+14/64 27/49+14/64 9/49+42/64 45/49+14/64 9/49+70/64 63/49+14/64 9/49+98/64