Use three methods to express each problem’s ratio. Simplify all fractions.
1. Anna has 12 black rabbits and 4 brown. What is the ratio of black rabbits to brown rabbits?
3 answers
12/4 = 3/1 = 3:1 = 3 to 1
Anna has 12 black rabbits and 4 brown . What is the ratio of black rabbits to brown rabbits
Method 1:
Ratio of black rabbits to brown rabbits = 12/4
Simplify the fraction:
Ratio of black rabbits to brown rabbits = 3/1
Express as a ratio:
Ratio of black rabbits to brown rabbits = 3:1
Method 2:
Total number of rabbits = 12 + 4 = 16
Ratio of black rabbits to total rabbits = 12/16
Simplify the fraction:
Ratio of black rabbits to total rabbits = 3/4
Ratio of brown rabbits to total rabbits = 4/16
Simplify the fraction:
Ratio of brown rabbits to total rabbits = 1/4
Express as a ratio:
Ratio of black rabbits to brown rabbits = 3:1
Method 3:
Divide both numbers by the greatest common factor (GCF):
GCF(12, 4) = 4
12/4 = 3
4/4 = 1
Ratio of black rabbits to brown rabbits = 3:1
Ratio of black rabbits to brown rabbits = 12/4
Simplify the fraction:
Ratio of black rabbits to brown rabbits = 3/1
Express as a ratio:
Ratio of black rabbits to brown rabbits = 3:1
Method 2:
Total number of rabbits = 12 + 4 = 16
Ratio of black rabbits to total rabbits = 12/16
Simplify the fraction:
Ratio of black rabbits to total rabbits = 3/4
Ratio of brown rabbits to total rabbits = 4/16
Simplify the fraction:
Ratio of brown rabbits to total rabbits = 1/4
Express as a ratio:
Ratio of black rabbits to brown rabbits = 3:1
Method 3:
Divide both numbers by the greatest common factor (GCF):
GCF(12, 4) = 4
12/4 = 3
4/4 = 1
Ratio of black rabbits to brown rabbits = 3:1