Add 24/27 and 16/49
24/27 + 16/49 is 536/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
24/27 = 24 × 49/27 × 49 = 1176/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
16/49 = 16 × 27/49 × 27 = 432/1323 - Add the two like fractions:
1176/1323 + 432/1323 = 1176 + 432/1323 = 1608/1323 - 1608/1323 simplified gives 536/441
- So, 24/27 + 16/49 = 536/441
In mixed form: 195/441
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 48/27+16/49 24/27+32/49 24/54+16/49 24/27+16/98 72/27+16/49 24/27+48/49 24/81+16/49 24/27+80/49