Add 40/84 and 35/40
40/84 + 35/40 is 227/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 84 × 10 = 840,
40/84 = 40 × 10/84 × 10 = 400/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
35/40 = 35 × 21/40 × 21 = 735/840 - Add the two like fractions:
400/840 + 735/840 = 400 + 735/840 = 1135/840 - 1135/840 simplified gives 227/168
- So, 40/84 + 35/40 = 227/168
In mixed form: 159/168
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/84+35/40 40/84+70/40 40/84+35/80