Add 30/42 and 40/45
30/42 + 40/45 is 101/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
30/42 = 30 × 15/42 × 15 = 450/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
40/45 = 40 × 14/45 × 14 = 560/630 - Add the two like fractions:
450/630 + 560/630 = 450 + 560/630 = 1010/630 - 1010/630 simplified gives 101/63
- So, 30/42 + 40/45 = 101/63
In mixed form: 138/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+40/45 30/42+80/45 30/84+40/45 30/42+40/90 90/42+40/45