# How do you simplify this?

1. Apr 5, 2012

### Gravitational

In my textbook it simplifies (208 − 18y)/7 to (29-2y) + (5-4y)/7
How does this happen?

2. Apr 5, 2012

### DonAntonio

$29-2y+\frac{5-4y}{7}=\frac{7\cdot 29 - 7\cdot 2y + 5 - 4y}{7} = \frac{208-18y}{7}$

DonAntonio

3. Apr 5, 2012

### Gravitational

Yes I know that, I also tried it in reverse. But how can it be done without doing it in reverse.

4. Apr 5, 2012

### DonAntonio

Errr...$208 = 29\cdot 7 + 5\,,\,\,and\,\,18 = 7\cdot 2 + 4$...what else?!

DonAntonio

5. Apr 6, 2012

### HallsofIvy

Staff Emeritus
It's just arithmetic. 7 divides into 208 29 times with remainder 5. 7 divides into 18 twice with remainder 4.