Add 45/75 and 63/42
1st number: 45/75, 2nd number: 1 21/42
45/75 + 63/42 is 21/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
45/75 = 45 × 14/75 × 14 = 630/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
63/42 = 63 × 25/42 × 25 = 1575/1050 - Add the two like fractions:
630/1050 + 1575/1050 = 630 + 1575/1050 = 2205/1050 - 2205/1050 simplified gives 21/10
- So, 45/75 + 63/42 = 21/10
In mixed form: 21/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/75+63/42 45/75+63/84