Add 48/14 and 75/40
1st number: 3 6/14, 2nd number: 1 35/40
48/14 + 75/40 is 297/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
48/14 = 48 × 20/14 × 20 = 960/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
75/40 = 75 × 7/40 × 7 = 525/280 - Add the two like fractions:
960/280 + 525/280 = 960 + 525/280 = 1485/280 - 1485/280 simplified gives 297/56
- So, 48/14 + 75/40 = 297/56
In mixed form: 517/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 96/14+75/40 48/28+75/40 48/14+75/80 48/42+75/40 48/70+75/40 48/98+75/40