Answers

Add 36/84 and 48/45

1^st number: 36/84, 2^nd number: 1 3/45

36/84 + 48/45 is 157/105.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 45 is 1260
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1260
2. For the 1st fraction, since 84 × 15 = 1260,
   36/84 = 36 × 15/84 × 15 = 540/1260
3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
   48/45 = 48 × 28/45 × 28 = 1344/1260
4. Add the two like fractions:
   540/1260 + 1344/1260 = 540 + 1344/1260 = 1884/1260
5. 1884/1260 simplified gives 157/105
6. So, 36/84 + 48/45 = 157/105
   In mixed form: 152/105

MathStep (Works offline)

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

Related: ⁷²/₈₄+⁴⁸/₄₅ ³⁶/₈₄+⁹⁶/₄₅ ³⁶/₈₄+⁴⁸/₉₀

Add Fractions Calculator