Add 35/30 and 75/16
1st number: 1 5/30, 2nd number: 4 11/16
35/30 + 75/16 is 281/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
35/30 = 35 × 8/30 × 8 = 280/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
75/16 = 75 × 15/16 × 15 = 1125/240 - Add the two like fractions:
280/240 + 1125/240 = 280 + 1125/240 = 1405/240 - 1405/240 simplified gives 281/48
- So, 35/30 + 75/16 = 281/48
In mixed form: 541/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/30+75/16 35/60+75/16 35/30+75/32 35/90+75/16 35/30+75/48 35/30+75/80