Add 30/36 and 7/32
30/36 + 7/32 is 101/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 36 × 8 = 288,
30/36 = 30 × 8/36 × 8 = 240/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
7/32 = 7 × 9/32 × 9 = 63/288 - Add the two like fractions:
240/288 + 63/288 = 240 + 63/288 = 303/288 - 303/288 simplified gives 101/96
- So, 30/36 + 7/32 = 101/96
In mixed form: 15/96
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/36+7/32 30/36+14/32 30/72+7/32 30/36+7/64 90/36+7/32 30/36+21/32 30/36+7/96 30/36+35/32 30/36+49/32