Add 49/2 and 45/42, Solve 24 1/2 + 1 3/42 as a fraction

Add 49/2 and 45/42

1^st number: 24 1/2, 2^nd number: 1 3/42

49/2 + 45/42 is 179/7.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 42 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 2 × 21 = 42,
49/2 = 49 × 21/2 × 21 = 1029/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
45/42 = 45 × 1/42 × 1 = 45/42
Add the two like fractions:
1029/42 + 45/42 = 1029 + 45/42 = 1074/42
1074/42 simplified gives 179/7
So, 49/2 + 45/42 = 179/7
In mixed form: 254/7

MathStep (Works offline)

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