Subtract 10/40 from 10/49
10/49 - 10/40 is -9/196.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
10/49 = 10 × 40/49 × 40 = 400/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
10/40 = 10 × 49/40 × 49 = 490/1960 - Subtract the two like fractions:
400/1960 - 490/1960 = 400 - 490/1960 = -90/1960 - After reducing the fraction, the answer is -9/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/49-10/40 10/49-20/40 10/98-10/40 10/49-10/80 30/49-10/40 10/49-30/40 50/49-10/40 10/49-50/40 70/49-10/40 10/49-70/40