Add 4/7 and 42/90
4/7 + 42/90 is 109/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 7 × 90 = 630,
4/7 = 4 × 90/7 × 90 = 360/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
42/90 = 42 × 7/90 × 7 = 294/630 - Add the two like fractions:
360/630 + 294/630 = 360 + 294/630 = 654/630 - 654/630 simplified gives 109/105
- So, 4/7 + 42/90 = 109/105
In mixed form: 14/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/7+42/90 4/7+84/90 4/14+42/90 12/7+42/90 4/21+42/90 20/7+42/90 4/35+42/90 28/7+42/90 4/49+42/90