Question

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

Answer 1

Answer:

  a. 1/6

  b. 4/1

  c. 27/1

  d. 1:7

Step-by-step explanation:

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

Answer 2

Step-by-step explanation:

$a.\\17:102=\dfrac{17}{102}=\dfrac{17:17}{102:17}=\dfrac{1}{6}=1:6\\\\b.\\\dfrac{208}{52}=\dfrac{208:52}{52:52}=\dfrac{4}{1}\\\\c.\\54\ to\ 2\to54:2=\dfrac{54}{2}=\dfrac{54:2}{2:2}=\dfrac{27}{1}\to27\ to\ 1\\\\d.\\7:49=\dfrac{7}{49}=\dfrac{7:7}{49:7}=\dfrac{1}{7}=1:7$