Add 30/7 and 45/48
1st number: 4 2/7, 2nd number: 45/48
30/7 + 45/48 is 585/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 7 × 48 = 336,
30/7 = 30 × 48/7 × 48 = 1440/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
45/48 = 45 × 7/48 × 7 = 315/336 - Add the two like fractions:
1440/336 + 315/336 = 1440 + 315/336 = 1755/336 - 1755/336 simplified gives 585/112
- So, 30/7 + 45/48 = 585/112
In mixed form: 525/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/7+45/48 30/7+90/48 30/14+45/48 30/7+45/96 90/7+45/48 30/21+45/48 30/35+45/48 30/49+45/48