Add 42/40 and 27/7
1st number: 1 2/40, 2nd number: 3 6/7
42/40 + 27/7 is 687/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
42/40 = 42 × 7/40 × 7 = 294/280 - Likewise, for the 2nd fraction, since 7 × 40 = 280,
27/7 = 27 × 40/7 × 40 = 1080/280 - Add the two like fractions:
294/280 + 1080/280 = 294 + 1080/280 = 1374/280 - 1374/280 simplified gives 687/140
- So, 42/40 + 27/7 = 687/140
In mixed form: 4127/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/40+27/7 42/40+54/7 42/80+27/7 42/40+27/14 42/40+81/7 42/40+27/21 42/40+27/35 42/40+27/49