Add 27/30 and 10/16
27/30 + 10/16 is 61/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
27/30 = 27 × 8/30 × 8 = 216/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
10/16 = 10 × 15/16 × 15 = 150/240 - Add the two like fractions:
216/240 + 150/240 = 216 + 150/240 = 366/240 - 366/240 simplified gives 61/40
- So, 27/30 + 10/16 = 61/40
In mixed form: 121/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/30+10/16 27/30+20/16 27/60+10/16 27/30+10/32 81/30+10/16 27/30+30/16 27/90+10/16 27/30+10/48 27/30+50/16 27/30+10/80 27/30+70/16