Write two equivalent ratio for the following:
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A. ⅛ b. ½
A.
1/8 can be written as 1/8, 2/16, 3/24, 4/32, etc.
B.
1/2 can be written as 1/2, 2/4, 3/6, 4/8, etc.
To find two equivalent ratios for each given ratio, we can multiply or divide both the numerator and denominator by the same number.
A. ⅛
Equivalent Ratios:
1) Multiply both numerator and denominator by 2:
⅛ * 2/2 = ⅛ * 2 = 2/16
2) Multiply both numerator and denominator by 4:
⅛ * 4/4 = ⅛ * 4 = 4/32
B. ½
Equivalent Ratios:
1) Multiply both numerator and denominator by 2:
½ * 2/2 = ½ * 2 = 2/4
2) Multiply both numerator and denominator by 4:
½ * 4/4 = ½ * 4 = 4/8
To find two equivalent ratios for the given ratios, we need to multiply or divide both the numerator and denominator of each ratio by the same non-zero number.
Let's find two equivalent ratios for ⅛:
A. ⅛
To find an equivalent ratio, we multiply or divide both the numerator and denominator by the same number.
If we multiply ⅛ by 2, we get:
⅛ * 2 = 2/8.
So, the first equivalent ratio for ⅛ is 2/8.
Now, if we divide ⅛ by 2, we get:
⅛ ÷ 2 = 1/16.
So, the second equivalent ratio for ⅛ is 1/16.
Now let's find two equivalent ratios for ½:
B. ½
Similarly, if we multiply ½ by 2, we get:
½ * 2 = 1/2 * 2/1 = 2/2 = 1.
So, the first equivalent ratio for ½ is 1.
If we divide ½ by 2, we get:
½ ÷ 2 = 1/2 ÷ 2/1 = 1/4.
So, the second equivalent ratio for ½ is 1/4.
Therefore, the two equivalent ratios for A) ⅛ are 2/8 and 1/16, and the two equivalent ratios for B) ½ are 1 and 1/4.