Answers

Add 36/84 and 42/35

1^st number: 36/84, 2^nd number: 1 7/35

36/84 + 42/35 is 57/35.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 35 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 84 × 5 = 420,
   36/84 = 36 × 5/84 × 5 = 180/420
3. Likewise, for the 2nd fraction, since 35 × 12 = 420,
   42/35 = 42 × 12/35 × 12 = 504/420
4. Add the two like fractions:
   180/420 + 504/420 = 180 + 504/420 = 684/420
5. 684/420 simplified gives 57/35
6. So, 36/84 + 42/35 = 57/35
   In mixed form: 122/35

MathStep (Works offline)

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

Related: ⁷²/₈₄+⁴²/₃₅ ³⁶/₈₄+⁸⁴/₃₅ ³⁶/₈₄+⁴²/₇₀

Add Fractions Calculator