Determine if each pair of ratios is equivalent or not. 1/8 2/16
2/16 = (2/2) / (16/2) = 1/8
Find the common factor between the denominators (For this,16), and change the numerators accordingly. 1/8 is the same as 2/16, so they're equivalent.
1 / 8 = 2 • 1 / 2 • 8 = 2 / 16
To determine if each pair of ratios is equivalent or not, we need to simplify both ratios and check if they are equal.
Let's start with the first pair: 1/8 and 2/16.
To simplify a ratio, we divide both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD). In this case, the GCD of 1 and 8 is 1. So, when we divide both numerator and denominator by 1, the ratio remains the same.
1/8 ÷ 1/1 = 1/8
Now, let's simplify the second ratio, 2/16. The GCD of 2 and 16 is 2. Divide both numerator and denominator by 2:
2/16 ÷ 2/2 = 1/8
Both ratios simplify to 1/8. Since they are equal after simplification, we can conclude that the pair of ratios 1/8 and 2/16 is equivalent.