Add 49/30 and 75/84
1st number: 1 19/30, 2nd number: 75/84
49/30 + 75/84 is 1061/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
49/30 = 49 × 14/30 × 14 = 686/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Add the two like fractions:
686/420 + 375/420 = 686 + 375/420 = 1061/420 - So, 49/30 + 75/84 = 1061/420
In mixed form: 2221/420
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/30+75/84 49/60+75/84 49/90+75/84