Add 45/84 and 27/32
45/84 + 27/32 is 309/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 84 × 8 = 672,
45/84 = 45 × 8/84 × 8 = 360/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
27/32 = 27 × 21/32 × 21 = 567/672 - Add the two like fractions:
360/672 + 567/672 = 360 + 567/672 = 927/672 - 927/672 simplified gives 309/224
- So, 45/84 + 27/32 = 309/224
In mixed form: 185/224
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/84+27/32 45/84+54/32 45/84+27/64 45/84+81/32 45/84+27/96