Add 75/84 and 12/45
75/84 + 12/45 is 487/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
75/84 = 75 × 15/84 × 15 = 1125/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
12/45 = 12 × 28/45 × 28 = 336/1260 - Add the two like fractions:
1125/1260 + 336/1260 = 1125 + 336/1260 = 1461/1260 - 1461/1260 simplified gives 487/420
- So, 75/84 + 12/45 = 487/420
In mixed form: 167/420
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/84+24/45 75/84+12/90 75/84+36/45 75/84+60/45 75/84+84/45