Add 4/25 and 14/49
4/25 + 14/49 is 78/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225
Next, find the equivalent fraction of both fractional numbers with denominator 1225 - For the 1st fraction, since 25 × 49 = 1225,
4/25 = 4 × 49/25 × 49 = 196/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
14/49 = 14 × 25/49 × 25 = 350/1225 - Add the two like fractions:
196/1225 + 350/1225 = 196 + 350/1225 = 546/1225 - 546/1225 simplified gives 78/175
- So, 4/25 + 14/49 = 78/175
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/25+14/49 4/25+28/49 4/50+14/49 4/25+14/98 12/25+14/49 4/25+42/49 4/75+14/49 20/25+14/49 4/25+70/49 28/25+14/49 4/25+98/49