Add 80/14 and 49/45, Solve 5 10/14 + 1 4/45 as a fraction

Add 80/14 and 49/45

1^st number: 5 10/14, 2^nd number: 1 4/45

80/14 + 49/45 is 2143/315.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 14 × 45 = 630,
80/14 = 80 × 45/14 × 45 = 3600/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
49/45 = 49 × 14/45 × 14 = 686/630
Add the two like fractions:
3600/630 + 686/630 = 3600 + 686/630 = 4286/630
4286/630 simplified gives 2143/315
So, 80/14 + 49/45 = 2143/315
In mixed form: 6253/315

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad