Add 84/20 and 40/42
1st number: 4 4/20, 2nd number: 40/42
84/20 + 40/42 is 541/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
84/20 = 84 × 21/20 × 21 = 1764/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
40/42 = 40 × 10/42 × 10 = 400/420 - Add the two like fractions:
1764/420 + 400/420 = 1764 + 400/420 = 2164/420 - 2164/420 simplified gives 541/105
- So, 84/20 + 40/42 = 541/105
In mixed form: 516/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/20+80/42 84/40+40/42 84/20+40/84 84/60+40/42