Answers

Add 36/84 and 21/4

1^st number: 36/84, 2^nd number: 5 1/4

36/84 + 21/4 is 159/28.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 4 is 84
   
   Next, find the equivalent fraction of both fractional numbers with denominator 84
2. For the 1st fraction, since 84 × 1 = 84,
   36/84 = 36 × 1/84 × 1 = 36/84
3. Likewise, for the 2nd fraction, since 4 × 21 = 84,
   21/4 = 21 × 21/4 × 21 = 441/84
4. Add the two like fractions:
   36/84 + 441/84 = 36 + 441/84 = 477/84
5. 477/84 simplified gives 159/28
6. So, 36/84 + 21/4 = 159/28
   In mixed form: 519/28

MathStep (Works offline)

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

Related: ⁷²/₈₄+²¹/₄ ³⁶/₈₄+⁴²/₄ ³⁶/₈₄+²¹/₈ ³⁶/₈₄+⁶³/₄ ³⁶/₈₄+²¹/₁₂ ³⁶/₈₄+²¹/₂₀ ³⁶/₈₄+²¹/₂₈

Add Fractions Calculator