Add 75/45 and 49/42
1st number: 1 30/45, 2nd number: 1 7/42
75/45 + 49/42 is 17/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
75/45 = 75 × 14/45 × 14 = 1050/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
49/42 = 49 × 15/42 × 15 = 735/630 - Add the two like fractions:
1050/630 + 735/630 = 1050 + 735/630 = 1785/630 - 1785/630 simplified gives 17/6
- So, 75/45 + 49/42 = 17/6
In mixed form: 25/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/45+98/42 75/90+49/42 75/45+49/84