Add 40/48 and 21/70
40/48 + 21/70 is 17/15.
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,
40/48 = 40 × 35/48 × 35 = 1400/1680 - Likewise, for the 2nd fraction, since 70 × 24 = 1680,
21/70 = 21 × 24/70 × 24 = 504/1680 - Add the two like fractions:
1400/1680 + 504/1680 = 1400 + 504/1680 = 1904/1680 - 1904/1680 simplified gives 17/15
- So, 40/48 + 21/70 = 17/15
In mixed form: 12/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/48+21/70 40/48+42/70 40/96+21/70 40/48+63/70