Add 3/2 and 30/42
1st number: 1 1/2, 2nd number: 30/42
3/2 + 30/42 is 31/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
3/2 = 3 × 21/2 × 21 = 63/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42 - Add the two like fractions:
63/42 + 30/42 = 63 + 30/42 = 93/42 - 93/42 simplified gives 31/14
- So, 3/2 + 30/42 = 31/14
In mixed form: 23/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/2+30/42 3/2+60/42 3/4+30/42 3/2+30/84 9/2+30/42 3/2+90/42 3/6+30/42 15/2+30/42 3/10+30/42 21/2+30/42 3/14+30/42