Add 27/30 and 40/49
27/30 + 40/49 is 841/490.
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,
27/30 = 27 × 49/30 × 49 = 1323/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
40/49 = 40 × 30/49 × 30 = 1200/1470 - Add the two like fractions:
1323/1470 + 1200/1470 = 1323 + 1200/1470 = 2523/1470 - 2523/1470 simplified gives 841/490
- So, 27/30 + 40/49 = 841/490
In mixed form: 1351/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/30+40/49 27/30+80/49 27/60+40/49 27/30+40/98 81/30+40/49 27/90+40/49