1 and 3 are never terminating and they are not repeating, therefore, they are irrational! All the others are either terminal (they have a decimal that stops) or they are repeting and those repeting numbers can be written as a fraction, for example 0.2222... can be written as 2/9

3 0

3 years ago

Jennifer sold 57 pieces of art if she sold twice as many paintings as sculptures how many painting did she sell??

Westkost [7]

so we know she has sculptures and paintings, if she sold twice as many paintings as sculptures, that means that for every 2 paintings, she sold 1 sculpture, so the paintings and sculptures are on a 2:1 ratio.

we know she sold a total of 57, so we'll need to split 57 in a 2:1 ratio, we'll simply divide the whole amount of 57 by (2+1) and distribute accordingly.

$\bf \cfrac{paintings}{sculptures}\qquad 2:1\qquad \cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{57}{2+1}}{1\cdot \frac{57}{2+1}}\implies \cfrac{2\cdot 19}{1\cdot 19}\implies \cfrac{\boxed{38}}{19}$

3 0

3 years ago