Add 42/45 and 40/7
1st number: 42/45, 2nd number: 5 5/7
42/45 + 40/7 is 698/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
40/7 = 40 × 45/7 × 45 = 1800/315 - Add the two like fractions:
294/315 + 1800/315 = 294 + 1800/315 = 2094/315 - 2094/315 simplified gives 698/105
- So, 42/45 + 40/7 = 698/105
In mixed form: 668/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/45+40/7 42/45+80/7 42/90+40/7 42/45+40/14 42/45+40/21 42/45+40/35 42/45+40/49