Add 98/42 and 54/49
1st number: 2 14/42, 2nd number: 1 5/49
98/42 + 54/49 is 505/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
98/42 = 98 × 7/42 × 7 = 686/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
54/49 = 54 × 6/49 × 6 = 324/294 - Add the two like fractions:
686/294 + 324/294 = 686 + 324/294 = 1010/294 - 1010/294 simplified gives 505/147
- So, 98/42 + 54/49 = 505/147
In mixed form: 364/147
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/84+54/49 98/42+54/98