Add 27/49 and 48/40
1st number: 27/49, 2nd number: 1 8/40
27/49 + 48/40 is 429/245.
Steps for adding 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,
27/49 = 27 × 40/49 × 40 = 1080/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
48/40 = 48 × 49/40 × 49 = 2352/1960 - Add the two like fractions:
1080/1960 + 2352/1960 = 1080 + 2352/1960 = 3432/1960 - 3432/1960 simplified gives 429/245
- So, 27/49 + 48/40 = 429/245
In mixed form: 1184/245
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/49+48/40 27/49+96/40 27/98+48/40 27/49+48/80 81/49+48/40