Add 10/9 and 42/32, Solve 1 1/9 + 1 10/32 as a fraction

Add 10/9 and 42/32

1^st number: 1 1/9, 2^nd number: 1 10/32

10/9 + 42/32 is 349/144.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 32 is 288

Next, find the equivalent fraction of both fractional numbers with denominator 288
For the 1st fraction, since 9 × 32 = 288,
10/9 = 10 × 32/9 × 32 = 320/288
Likewise, for the 2nd fraction, since 32 × 9 = 288,
42/32 = 42 × 9/32 × 9 = 378/288
Add the two like fractions:
320/288 + 378/288 = 320 + 378/288 = 698/288
698/288 simplified gives 349/144
So, 10/9 + 42/32 = 349/144
In mixed form: 261/144

MathStep (Works offline)

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