Add 45/14 and 9/45, Solve 3 3/14 + 9/45 as a fraction

Add 45/14 and 9/45

1^st number: 3 3/14, 2^nd number: 9/45

45/14 + 9/45 is 239/70.

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,
45/14 = 45 × 45/14 × 45 = 2025/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
9/45 = 9 × 14/45 × 14 = 126/630
Add the two like fractions:
2025/630 + 126/630 = 2025 + 126/630 = 2151/630
2151/630 simplified gives 239/70
So, 45/14 + 9/45 = 239/70
In mixed form: 329/70

MathStep (Works offline)

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