Add 10/40 and 36/42
10/40 + 36/42 is 31/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
10/40 = 10 × 21/40 × 21 = 210/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
36/42 = 36 × 20/42 × 20 = 720/840 - Add the two like fractions:
210/840 + 720/840 = 210 + 720/840 = 930/840 - 930/840 simplified gives 31/28
- So, 10/40 + 36/42 = 31/28
In mixed form: 13/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40+36/42 10/40+72/42 10/80+36/42 10/40+36/84 30/40+36/42 50/40+36/42 70/40+36/42