Add 84/42 and 30/40
1st number: 2 0/42, 2nd number: 30/40
84/42 + 30/40 is 11/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
84/42 = 84 × 20/42 × 20 = 1680/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
30/40 = 30 × 21/40 × 21 = 630/840 - Add the two like fractions:
1680/840 + 630/840 = 1680 + 630/840 = 2310/840 - 2310/840 simplified gives 11/4
- So, 84/42 + 30/40 = 11/4
In mixed form: 23/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/42+60/40 84/42+30/80 84/42+90/40