Add 14/30 and 54/49
1st number: 14/30, 2nd number: 1 5/49
14/30 + 54/49 is 1153/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
14/30 = 14 × 49/30 × 49 = 686/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
54/49 = 54 × 30/49 × 30 = 1620/1470 - Add the two like fractions:
686/1470 + 1620/1470 = 686 + 1620/1470 = 2306/1470 - 2306/1470 simplified gives 1153/735
- So, 14/30 + 54/49 = 1153/735
In mixed form: 1418/735
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/30+54/49 14/60+54/49 14/30+54/98 42/30+54/49 14/90+54/49 70/30+54/49 98/30+54/49