Add 24/35 and 42/54
24/35 + 42/54 is 461/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 54 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 35 × 54 = 1890,
24/35 = 24 × 54/35 × 54 = 1296/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
42/54 = 42 × 35/54 × 35 = 1470/1890 - Add the two like fractions:
1296/1890 + 1470/1890 = 1296 + 1470/1890 = 2766/1890 - 2766/1890 simplified gives 461/315
- So, 24/35 + 42/54 = 461/315
In mixed form: 1146/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 48/35+42/54 24/35+84/54 24/70+42/54 72/35+42/54