Add 75/98 and 24/40
75/98 + 24/40 is 669/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
75/98 = 75 × 20/98 × 20 = 1500/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
24/40 = 24 × 49/40 × 49 = 1176/1960 - Add the two like fractions:
1500/1960 + 1176/1960 = 1500 + 1176/1960 = 2676/1960 - 2676/1960 simplified gives 669/490
- So, 75/98 + 24/40 = 669/490
In mixed form: 1179/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/98+48/40 75/98+24/80 75/98+72/40