Add 14/45 and 32/42
14/45 + 32/42 is 338/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
14/45 = 14 × 14/45 × 14 = 196/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
32/42 = 32 × 15/42 × 15 = 480/630 - Add the two like fractions:
196/630 + 480/630 = 196 + 480/630 = 676/630 - 676/630 simplified gives 338/315
- So, 14/45 + 32/42 = 338/315
In mixed form: 123/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/45+32/42 14/45+64/42 14/90+32/42 14/45+32/84 42/45+32/42 14/45+96/42 70/45+32/42 98/45+32/42