Add 49/21 and 10/45
1st number: 2 7/21, 2nd number: 10/45
49/21 + 10/45 is 23/9.
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,
49/21 = 49 × 15/21 × 15 = 735/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
10/45 = 10 × 7/45 × 7 = 70/315 - Add the two like fractions:
735/315 + 70/315 = 735 + 70/315 = 805/315 - 805/315 simplified gives 23/9
- So, 49/21 + 10/45 = 23/9
In mixed form: 25/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/21+10/45 49/21+20/45 49/42+10/45 49/21+10/90 49/21+30/45 49/63+10/45 49/21+50/45 49/21+70/45