Question

Reduce the ratio to its simplest form
a. 17 102
b. 208/52
c. 54 to 2
d. 7:49​

Answer 1

Explanation:

`a.\\17:102=(17)/(102)=(17:17)/(102:17)=(1)/(6)=1:6\\\\b.\\(208)/(52)=(208:52)/(52:52)=(4)/(1)\\\\c.\\54\ to\ 2\to54:2=(54)/(2)=(54:2)/(2:2)=(27)/(1)\to27\ to\ 1\\\\d.\\7:49=(7)/(49)=(7:7)/(49:7)=(1)/(7)=1:7`

Answer 2

a. 1/6

b. 4/1

c. 27/1

d. 1:7

Explanation:

`a. \quad(17)/(102)=(17\cdot 1)/(17\cdot 6)=(1)/(6)\\\\b. \quad(208)/(52)=(52\cdot 4)/(52\cdot 1)=(4)/(1)\\\\c. \quad(54)/(2)=(2\cdot 27)/(2\cdot 1)=(27)/(1)\\\\d. \quad7:49=(7\cdot 1):(7\cdot 7)=1:7`