Add 7/49 and 40/24
1st number: 7/49, 2nd number: 1 16/24
7/49 + 40/24 is 38/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 24 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 49 × 24 = 1176,
7/49 = 7 × 24/49 × 24 = 168/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
40/24 = 40 × 49/24 × 49 = 1960/1176 - Add the two like fractions:
168/1176 + 1960/1176 = 168 + 1960/1176 = 2128/1176 - 2128/1176 simplified gives 38/21
- So, 7/49 + 40/24 = 38/21
In mixed form: 117/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/49+40/24 7/49+80/24 7/98+40/24 7/49+40/48 21/49+40/24 7/49+40/72 35/49+40/24