Add 10/40 and 5/42
10/40 + 5/42 is 31/84.
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,
5/42 = 5 × 20/42 × 20 = 100/840 - Add the two like fractions:
210/840 + 100/840 = 210 + 100/840 = 310/840 - 310/840 simplified gives 31/84
- So, 10/40 + 5/42 = 31/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40+5/42 10/40+10/42 10/80+5/42 10/40+5/84 30/40+5/42 10/40+15/42 50/40+5/42 10/40+25/42 70/40+5/42 10/40+35/42