Add 10/14 and 49/45
1st number: 10/14, 2nd number: 1 4/45
10/14 + 49/45 is 568/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 14 × 45 = 630,
10/14 = 10 × 45/14 × 45 = 450/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
49/45 = 49 × 14/45 × 14 = 686/630 - Add the two like fractions:
450/630 + 686/630 = 450 + 686/630 = 1136/630 - 1136/630 simplified gives 568/315
- So, 10/14 + 49/45 = 568/315
In mixed form: 1253/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/14+49/45 10/14+98/45 10/28+49/45 10/14+49/90 30/14+49/45 10/42+49/45 50/14+49/45 10/70+49/45 70/14+49/45 10/98+49/45