Add 4/28 and 42/45
4/28 + 42/45 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
4/28 = 4 × 45/28 × 45 = 180/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
42/45 = 42 × 28/45 × 28 = 1176/1260 - Add the two like fractions:
180/1260 + 1176/1260 = 180 + 1176/1260 = 1356/1260 - 1356/1260 simplified gives 113/105
- So, 4/28 + 42/45 = 113/105
In mixed form: 18/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/28+42/45 4/28+84/45 4/56+42/45 4/28+42/90 12/28+42/45 4/84+42/45 20/28+42/45