Add 1/4 and 84/49
1st number: 1/4, 2nd number: 1 35/49
1/4 + 84/49 is 55/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
1/4 = 1 × 49/4 × 49 = 49/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
84/49 = 84 × 4/49 × 4 = 336/196 - Add the two like fractions:
49/196 + 336/196 = 49 + 336/196 = 385/196 - 385/196 simplified gives 55/28
- So, 1/4 + 84/49 = 55/28
In mixed form: 127/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/4+84/49 1/8+84/49 1/4+84/98 3/4+84/49 1/12+84/49 5/4+84/49 1/20+84/49 7/4+84/49 1/28+84/49