Answers

Add 75/98 and 45/40

1^st number: 75/98, 2^nd number: 1 5/40

75/98 + 45/40 is 741/392.

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,
   75/98 = 75 × 20/98 × 20 = 1500/1960
3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
   45/40 = 45 × 49/40 × 49 = 2205/1960
4. Add the two like fractions:
   1500/1960 + 2205/1960 = 1500 + 2205/1960 = 3705/1960
5. 3705/1960 simplified gives 741/392
6. So, 75/98 + 45/40 = 741/392
   In mixed form: 1349/392

MathStep (Works offline)

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

Related: ⁷⁵/₉₈+⁹⁰/₄₀ ⁷⁵/₉₈+⁴⁵/₈₀

Add Fractions Calculator