Answers

Add 40/45 and 98/40

1^st number: 40/45, 2^nd number: 2 18/40

40/45 + 98/40 is 601/180.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 45 and 40 is 360
   
   Next, find the equivalent fraction of both fractional numbers with denominator 360
2. For the 1st fraction, since 45 × 8 = 360,
   40/45 = 40 × 8/45 × 8 = 320/360
3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
   98/40 = 98 × 9/40 × 9 = 882/360
4. Add the two like fractions:
   320/360 + 882/360 = 320 + 882/360 = 1202/360
5. 1202/360 simplified gives 601/180
6. So, 40/45 + 98/40 = 601/180
   In mixed form: 361/180

MathStep (Works offline)

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

Related: ⁸⁰/₄₅+⁹⁸/₄₀ ⁴⁰/₉₀+⁹⁸/₄₀ ⁴⁰/₄₅+⁹⁸/₈₀

Add Fractions Calculator