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?
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
To express the ratio of black rabbits to brown rabbits, we can use three different methods: as a fraction, as a colon, and as a word ratio.
1. Fraction method:
The ratio of black rabbits to brown rabbits can be expressed as 12/4.
To simplify the fraction, we divide both the numerator (12) and the denominator (4) by their greatest common divisor (GCD), which is 4.
Simplifying, we get 3/1, which means that Anna has 3 times as many black rabbits as brown rabbits.
2. Colon method:
The ratio of black rabbits to brown rabbits can also be expressed using a colon (:) as 12:4.
This means that for every 12 black rabbits, there are 4 brown rabbits.
3. Word ratio method:
The ratio of black rabbits to brown rabbits can be expressed in words as "12 to 4."
This means that for every 12 black rabbits, there are 4 brown rabbits.