Add 10/45 and 40/7
1st number: 10/45, 2nd number: 5 5/7
10/45 + 40/7 is 374/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
10/45 = 10 × 7/45 × 7 = 70/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
40/7 = 40 × 45/7 × 45 = 1800/315 - Add the two like fractions:
70/315 + 1800/315 = 70 + 1800/315 = 1870/315 - 1870/315 simplified gives 374/63
- So, 10/45 + 40/7 = 374/63
In mixed form: 559/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/45+40/7 10/45+80/7 10/90+40/7 10/45+40/14 30/45+40/7 10/45+40/21 50/45+40/7 10/45+40/35 70/45+40/7 10/45+40/49