Add 75/40 and 7/42
1st number: 1 35/40, 2nd number: 7/42
75/40 + 7/42 is 49/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
75/40 = 75 × 21/40 × 21 = 1575/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
7/42 = 7 × 20/42 × 20 = 140/840 - Add the two like fractions:
1575/840 + 140/840 = 1575 + 140/840 = 1715/840 - 1715/840 simplified gives 49/24
- So, 75/40 + 7/42 = 49/24
In mixed form: 21/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+14/42 75/80+7/42 75/40+7/84 75/40+21/42 75/40+35/42 75/40+49/42