Add 54/10 and 45/42, Solve 5 4/10 + 1 3/42 as a fraction

Add 54/10 and 45/42

1^st number: 5 4/10, 2^nd number: 1 3/42

54/10 + 45/42 is 453/70.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 10 × 21 = 210,
54/10 = 54 × 21/10 × 21 = 1134/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210
Add the two like fractions:
1134/210 + 225/210 = 1134 + 225/210 = 1359/210
1359/210 simplified gives 453/70
So, 54/10 + 45/42 = 453/70
In mixed form: 633/70

MathStep (Works offline)

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