Add 75/10 and 90/49, Solve 7 5/10 + 1 41/49 as a fraction

Add 75/10 and 90/49

1^st number: 7 5/10, 2^nd number: 1 41/49

75/10 + 90/49 is 915/98.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 10 × 49 = 490,
75/10 = 75 × 49/10 × 49 = 3675/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
90/49 = 90 × 10/49 × 10 = 900/490
Add the two like fractions:
3675/490 + 900/490 = 3675 + 900/490 = 4575/490
4575/490 simplified gives 915/98
So, 75/10 + 90/49 = 915/98
In mixed form: 933/98

MathStep (Works offline)

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