Add 40/30 and 35/84
1st number: 1 10/30, 2nd number: 35/84
40/30 + 35/84 is 7/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
40/30 = 40 × 14/30 × 14 = 560/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
35/84 = 35 × 5/84 × 5 = 175/420 - Add the two like fractions:
560/420 + 175/420 = 560 + 175/420 = 735/420 - 735/420 simplified gives 7/4
- So, 40/30 + 35/84 = 7/4
In mixed form: 13/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/30+35/84 40/30+70/84 40/60+35/84 40/90+35/84