Add 7/20 and 42/45
7/20 + 42/45 is 77/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
7/20 = 7 × 9/20 × 9 = 63/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
42/45 = 42 × 4/45 × 4 = 168/180 - Add the two like fractions:
63/180 + 168/180 = 63 + 168/180 = 231/180 - 231/180 simplified gives 77/60
- So, 7/20 + 42/45 = 77/60
In mixed form: 117/60
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/20+42/45 7/20+84/45 7/40+42/45 7/20+42/90 21/20+42/45 7/60+42/45 35/20+42/45 49/20+42/45