Add 45/48 and 40/70
45/48 + 40/70 is 169/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 70 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 48 × 35 = 1680,
45/48 = 45 × 35/48 × 35 = 1575/1680 - Likewise, for the 2nd fraction, since 70 × 24 = 1680,
40/70 = 40 × 24/70 × 24 = 960/1680 - Add the two like fractions:
1575/1680 + 960/1680 = 1575 + 960/1680 = 2535/1680 - 2535/1680 simplified gives 169/112
- So, 45/48 + 40/70 = 169/112
In mixed form: 157/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/48+40/70 45/48+80/70 45/96+40/70