Add 40/14 and 48/45
1st number: 2 12/14, 2nd number: 1 3/45
40/14 + 48/45 is 412/105.
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,
40/14 = 40 × 45/14 × 45 = 1800/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
48/45 = 48 × 14/45 × 14 = 672/630 - Add the two like fractions:
1800/630 + 672/630 = 1800 + 672/630 = 2472/630 - 2472/630 simplified gives 412/105
- So, 40/14 + 48/45 = 412/105
In mixed form: 397/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/14+48/45 40/14+96/45 40/28+48/45 40/14+48/90 40/42+48/45 40/70+48/45 40/98+48/45