Add 14/49 and 16/45
14/49 + 16/45 is 202/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
14/49 = 14 × 45/49 × 45 = 630/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
16/45 = 16 × 49/45 × 49 = 784/2205 - Add the two like fractions:
630/2205 + 784/2205 = 630 + 784/2205 = 1414/2205 - 1414/2205 simplified gives 202/315
- So, 14/49 + 16/45 = 202/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+16/45 14/49+32/45 14/98+16/45 14/49+16/90 42/49+16/45 14/49+48/45 70/49+16/45 14/49+80/45 98/49+16/45