Answers

Add 27/98 and 54/40

1^st number: 27/98, 2^nd number: 1 14/40

27/98 + 54/40 is 1593/980.

Steps for adding fractions

1. 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
2. For the 1st fraction, since 98 × 20 = 1960,
   27/98 = 27 × 20/98 × 20 = 540/1960
3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
   54/40 = 54 × 49/40 × 49 = 2646/1960
4. Add the two like fractions:
   540/1960 + 2646/1960 = 540 + 2646/1960 = 3186/1960
5. 3186/1960 simplified gives 1593/980
6. So, 27/98 + 54/40 = 1593/980
   In mixed form: 1613/980

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related: ⁵⁴/₉₈+⁵⁴/₄₀ ²⁷/₉₈+⁵⁴/₈₀ ⁸¹/₉₈+⁵⁴/₄₀

Add Fractions Calculator