RATIO AND PROPORTION

PROBLEMS (3)

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19.  1 the only common divisor.  Each number says its name.

19.  What ratio has

a)  2 to 3?   Two thirds.   b)  3 to 4?   Three fourths.
 
c)  5 to 6?   Five sixths.   d)  2 to 9?   Two ninths.
 
e)  1 to 5?   One fifth.   f)  2 to 5?   Two fifths.
 
g)  3 to 5?   Three fifths.   h)  4 to 5?   Four fifths.

10.  Common divisor; Lowest terms.   Express each ratio with the
10.  lowest terms.

a)  6 to 8?   Three fourths.   b)  12 to 18?   Two thirds.
 
c)  10 to 25?   Two fifths.   d)  9 to 24?   Three eighths.
 
e)  10 to 15?   Two thirds.   f)  15 to 20?   Three fourths.
 
g)  20 to 30?   Two thirds.   h)  6 to 10?   Three fifths.
 
i)  15 to 24?   Five eighths.   j)  90 to 100?   Nine tenths.
 
k)  14 to 35?   Two fifths.   l)  15 to 40?   Three eighths.
 
m)  72 to 81?   Eight ninths.   n)  16 to 20?   Four fifths.
 
o)  21 to 70?   Three tenths.   p)  40 to 100   Two fifths.
 
q)  80 to 100?   Four fifths.   r)  1500 to 3500   Three sevenths.

11.  Numbers that end in the same number of 0's.  What ratio has

      a)  50 to 150?  One third.   b)  500 to 1500?  One third.
      c)  5000 to 6000?  Five sixths.   d)  70 to 280?   One fourth.
      e)  900 to 4500?  One fifth.   f)  180 to 60?  Three times.
      g)  3200 to 800?  Four times.   h)  1500 to 50?  Thirty times.
      i)  1000 to 100?  Ten times.   j)  400 to 2000?  One fifth.
      k)  1200 to 1800  Two thirds.   l)  1500 to 2000?  Three fourths.

12.  Complete the following with the smallest numbers -- the lowest
12.  terms -- which have that ratio.

12.  a)  If a is half of b, then a is to b as 1 is to 2.

12.  b)  If a is a sixth of b, then a is to b as 1 is to 6.

12.  c)  If a is four times b, then a is to b as 4 is to 1.

12.  d)  If a is ten times b, then a is to b as 10 is to 1.

12.  e)  If a is two thirds of b, then a is to b as 2 is to 3.

12.  f)  If a is five eighths of b, then a is to b as 5 is to 8.

12.  g)  If a is nine tenths of b, then a is to b as 9 is to 10.


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