Add 9/42 and 84/40
1st number: 9/42, 2nd number: 2 4/40
9/42 + 84/40 is 81/35.
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,
9/42 = 9 × 20/42 × 20 = 180/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
84/40 = 84 × 21/40 × 21 = 1764/840 - Add the two like fractions:
180/840 + 1764/840 = 180 + 1764/840 = 1944/840 - 1944/840 simplified gives 81/35
- So, 9/42 + 84/40 = 81/35
In mixed form: 211/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/42+84/40 9/84+84/40 9/42+84/80 27/42+84/40 45/42+84/40 63/42+84/40