Add 98/21 and 75/45
1st number: 4 14/21, 2nd number: 1 30/45
98/21 + 75/45 is 19/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
98/21 = 98 × 15/21 × 15 = 1470/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
75/45 = 75 × 7/45 × 7 = 525/315 - Add the two like fractions:
1470/315 + 525/315 = 1470 + 525/315 = 1995/315 - 1995/315 simplified gives 19/3
- So, 98/21 + 75/45 = 19/3
In mixed form: 61/3
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/42+75/45 98/21+75/90 98/63+75/45