Add 16/45 and 36/42
16/45 + 36/42 is 382/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
16/45 = 16 × 14/45 × 14 = 224/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
36/42 = 36 × 15/42 × 15 = 540/630 - Add the two like fractions:
224/630 + 540/630 = 224 + 540/630 = 764/630 - 764/630 simplified gives 382/315
- So, 16/45 + 36/42 = 382/315
In mixed form: 167/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/45+36/42 16/45+72/42 16/90+36/42 16/45+36/84 48/45+36/42 80/45+36/42