Add 7/8 and 42/45
7/8 + 42/45 is 217/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
7/8 = 7 × 45/8 × 45 = 315/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
42/45 = 42 × 8/45 × 8 = 336/360 - Add the two like fractions:
315/360 + 336/360 = 315 + 336/360 = 651/360 - 651/360 simplified gives 217/120
- So, 7/8 + 42/45 = 217/120
In mixed form: 197/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/8+42/45 7/8+84/45 7/16+42/45 7/8+42/90 21/8+42/45 7/24+42/45 35/8+42/45 7/40+42/45 49/8+42/45 7/56+42/45