Answers

Add 49/20 and 75/72

1^st number: 2 9/20, 2^nd number: 1 3/72

49/20 + 75/72 is 419/120.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 20 and 72 is 360
   
   Next, find the equivalent fraction of both fractional numbers with denominator 360
2. For the 1st fraction, since 20 × 18 = 360,
   49/20 = 49 × 18/20 × 18 = 882/360
3. Likewise, for the 2nd fraction, since 72 × 5 = 360,
   75/72 = 75 × 5/72 × 5 = 375/360
4. Add the two like fractions:
   882/360 + 375/360 = 882 + 375/360 = 1257/360
5. 1257/360 simplified gives 419/120
6. So, 49/20 + 75/72 = 419/120
   In mixed form: 359/120

MathStep (Works offline)

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

Related: ⁹⁸/₂₀+⁷⁵/₇₂ ⁴⁹/₄₀+⁷⁵/₇₂ ⁴⁹/₆₀+⁷⁵/₇₂

Add Fractions Calculator