Add 21/30 and 10/40
21/30 + 10/40 is 19/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
21/30 = 21 × 4/30 × 4 = 84/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
10/40 = 10 × 3/40 × 3 = 30/120 - Add the two like fractions:
84/120 + 30/120 = 84 + 30/120 = 114/120 - 114/120 simplified gives 19/20
- So, 21/30 + 10/40 = 19/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/30+10/40 21/30+20/40 21/60+10/40 21/30+10/80 63/30+10/40 21/30+30/40 21/90+10/40 21/30+50/40 21/30+70/40