Subtract 30/16 from 30/49
1st number: 30/49, 2nd number: 1 14/16
30/49 - 30/16 is -495/392.
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,
30/49 = 30 × 16/49 × 16 = 480/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
30/16 = 30 × 49/16 × 49 = 1470/784 - Subtract the two like fractions:
480/784 - 1470/784 = 480 - 1470/784 = -990/784 - After reducing the fraction, the answer is -495/392
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/49-30/16 30/49-60/16 30/98-30/16 30/49-30/32 90/49-30/16 30/49-90/16 30/49-30/48 30/49-30/80