Add 45/4 and 35/42
1st number: 11 1/4, 2nd number: 35/42
45/4 + 35/42 is 145/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
45/4 = 45 × 21/4 × 21 = 945/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
35/42 = 35 × 2/42 × 2 = 70/84 - Add the two like fractions:
945/84 + 70/84 = 945 + 70/84 = 1015/84 - 1015/84 simplified gives 145/12
- So, 45/4 + 35/42 = 145/12
In mixed form: 121/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/4+35/42 45/4+70/42 45/8+35/42 45/4+35/84 45/12+35/42 45/20+35/42 45/28+35/42