Add 15/30 and 40/42
15/30 + 40/42 is 61/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
15/30 = 15 × 7/30 × 7 = 105/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
105/210 + 200/210 = 105 + 200/210 = 305/210 - 305/210 simplified gives 61/42
- So, 15/30 + 40/42 = 61/42
In mixed form: 119/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 15/30+80/42 15/60+40/42 15/30+40/84 45/30+40/42 15/90+40/42 75/30+40/42