Add 30/40 and 54/84
30/40 + 54/84 is 39/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 84 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
30/40 = 30 × 21/40 × 21 = 630/840 - Likewise, for the 2nd fraction, since 84 × 10 = 840,
54/84 = 54 × 10/84 × 10 = 540/840 - Add the two like fractions:
630/840 + 540/840 = 630 + 540/840 = 1170/840 - 1170/840 simplified gives 39/28
- So, 30/40 + 54/84 = 39/28
In mixed form: 111/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+54/84 30/80+54/84 90/40+54/84