Add 21/30 and 7/4
1st number: 21/30, 2nd number: 1 3/4
21/30 + 7/4 is 49/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 4 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
21/30 = 21 × 2/30 × 2 = 42/60 - Likewise, for the 2nd fraction, since 4 × 15 = 60,
7/4 = 7 × 15/4 × 15 = 105/60 - Add the two like fractions:
42/60 + 105/60 = 42 + 105/60 = 147/60 - 147/60 simplified gives 49/20
- So, 21/30 + 7/4 = 49/20
In mixed form: 29/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/30+7/4 21/30+14/4 21/60+7/4 21/30+7/8 63/30+7/4 21/30+21/4 21/90+7/4 21/30+7/12 21/30+35/4 21/30+7/20 21/30+49/4 21/30+7/28