Add 49/30 and 45/14
1st number: 1 19/30, 2nd number: 3 3/14
49/30 + 45/14 is 509/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
49/30 = 49 × 7/30 × 7 = 343/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
45/14 = 45 × 15/14 × 15 = 675/210 - Add the two like fractions:
343/210 + 675/210 = 343 + 675/210 = 1018/210 - 1018/210 simplified gives 509/105
- So, 49/30 + 45/14 = 509/105
In mixed form: 489/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/30+45/14 49/30+90/14 49/60+45/14 49/30+45/28 49/90+45/14 49/30+45/42 49/30+45/70 49/30+45/98