Add 35/5 and 5/49, Solve 7 0/5 + 5/49 as a fraction

Add 35/5 and 5/49

1^st number: 7 0/5, 2^nd number: 5/49

35/5 + 5/49 is 348/49.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245

Next, find the equivalent fraction of both fractional numbers with denominator 245
For the 1st fraction, since 5 × 49 = 245,
35/5 = 35 × 49/5 × 49 = 1715/245
Likewise, for the 2nd fraction, since 49 × 5 = 245,
5/49 = 5 × 5/49 × 5 = 25/245
Add the two like fractions:
1715/245 + 25/245 = 1715 + 25/245 = 1740/245
1740/245 simplified gives 348/49
So, 35/5 + 5/49 = 348/49
In mixed form: 75/49

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad