Add 49/84 and 42/45
49/84 + 42/45 is 91/60.
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,
49/84 = 49 × 15/84 × 15 = 735/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
42/45 = 42 × 28/45 × 28 = 1176/1260 - Add the two like fractions:
735/1260 + 1176/1260 = 735 + 1176/1260 = 1911/1260 - 1911/1260 simplified gives 91/60
- So, 49/84 + 42/45 = 91/60
In mixed form: 131/60
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/84+42/45 49/84+84/45 49/84+42/90