Subtract 9/16 from 7/49
7/49 - 9/16 is -47/112.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
7/49 = 7 × 16/49 × 16 = 112/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
9/16 = 9 × 49/16 × 49 = 441/784 - Subtract the two like fractions:
112/784 - 441/784 = 112 - 441/784 = -329/784 - After reducing the fraction, the answer is -47/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/49-9/16 7/49-18/16 7/98-9/16 7/49-9/32 21/49-9/16 7/49-27/16 7/49-9/48 35/49-9/16 7/49-45/16 7/49-9/80 7/49-63/16