Add 30/7 and 40/45
1st number: 4 2/7, 2nd number: 40/45
30/7 + 40/45 is 326/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
30/7 = 30 × 45/7 × 45 = 1350/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
40/45 = 40 × 7/45 × 7 = 280/315 - Add the two like fractions:
1350/315 + 280/315 = 1350 + 280/315 = 1630/315 - 1630/315 simplified gives 326/63
- So, 30/7 + 40/45 = 326/63
In mixed form: 511/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/7+40/45 30/7+80/45 30/14+40/45 30/7+40/90 90/7+40/45 30/21+40/45 30/35+40/45 30/49+40/45