Add 27/7 and 42/45
1st number: 3 6/7, 2nd number: 42/45
27/7 + 42/45 is 503/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
27/7 = 27 × 45/7 × 45 = 1215/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Add the two like fractions:
1215/315 + 294/315 = 1215 + 294/315 = 1509/315 - 1509/315 simplified gives 503/105
- So, 27/7 + 42/45 = 503/105
In mixed form: 483/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/7+42/45 27/7+84/45 27/14+42/45 27/7+42/90 81/7+42/45 27/21+42/45 27/35+42/45 27/49+42/45