## Add 40/90 and 45/70

40/90 + 45/70 is 137/126.

#### Steps for adding fractions

- Find the least common denominator or LCM of the two denominators:

LCM of 90 and 70 is **630**

Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 90 × 7 = 630,

40/90 = 40 × 7/90 × 7 = 280/630 - Likewise, for the 2nd fraction, since 70 × 9 = 630,

45/70 = 45 × 9/70 × 9 = 405/630 - Add the two like fractions:

280/630 + 405/630 = 280 + 405/630 = 685/630 - 685/630 simplified gives 137/126
- So, 40/90 + 45/70 = 137/126

In mixed form: 111/126

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:

Android and iPhone/ iPad

Related: ^{80}/_{90}+^{45}/_{70} ^{40}/_{90}+^{90}/_{70}