Add 6/45 and 75/84
6/45 + 75/84 is 431/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
6/45 = 6 × 28/45 × 28 = 168/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
75/84 = 75 × 15/84 × 15 = 1125/1260 - Add the two like fractions:
168/1260 + 1125/1260 = 168 + 1125/1260 = 1293/1260 - 1293/1260 simplified gives 431/420
- So, 6/45 + 75/84 = 431/420
In mixed form: 111/420
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 12/45+75/84 6/90+75/84 18/45+75/84 30/45+75/84 42/45+75/84