What are three equivalent ratios for 21:28
divide by 7 ... 3:4
multiply by 2 ... 42:56
and so on
12:18 and 21:28
Are these two ratios equvalent?
help 54 75
NO THE ANSWERIS WRONG
To find three equivalent ratios for 21:28, we need to multiply or divide both the numerator and the denominator by the same nonzero number. This will result in equivalent ratios because the relative relationship between the numerator and the denominator remains the same.
Let's choose a number to multiply or divide by. One option is to divide both 21 and 28 by their greatest common factor (GCF) to simplify the ratio. The GCF of 21 and 28 is 7.
Dividing both 21 and 28 by 7, we get:
21 ÷ 7 = 3
28 ÷ 7 = 4
Therefore, the simplified ratio is 3:4.
Now, let's find three equivalent ratios by multiplying or dividing both the numerator and the denominator of the simplified ratio (3:4) by the same nonzero number.
Option 1: Multiply by 2.
3 × 2 = 6
4 × 2 = 8
So, the equivalent ratio is 6:8.
Option 2: Multiply by 3.
3 × 3 = 9
4 × 3 = 12
So, the equivalent ratio is 9:12.
Option 3: Divide by 2.
3 ÷ 2 = 1.5
4 ÷ 2 = 2
So, the equivalent ratio is 1.5:2.
Therefore, three equivalent ratios for 21:28 are 6:8, 9:12, and 1.5:2.