Answer:
Equivalent ratios: we can that the first ratio is equivalent to the second, then third ratio is equivalent to the forth.
Ratio: 1: 2 Value of the Ratio: 1/2
Ratio: 5: 10 Value of the Ratio: 1/2
Ratio: 6: 16 Value of the Ratio: 3/8
Ratio: 12: 32 Value of the Ratio: 3/8
We notice that if the values are equivalent the ratios are equivalent
Step-by-step explanation:
Equivalent ratios:
To get if ratios are equivalent we look for the constant between ratios
a.Ratio: 1: 2 and Ratio: 5: 10
We apply the method of comparing the first term of both ratios , and the second term of both ratios. We see the constant is 5 ( 1/5 is equal to 2/10)
We do the same with third and forth ratio
Ratio: 6: 16 compare to Ratio: 12: 32
6/12 is equal to 16/32 the constant is 2
<u>So, we can that the first ratio is equivalent to the second, then, third ratio is equivalent to the forth. </u>
Value of the Ratio: The value is a ratio written as a fraction.
Ratio: 1: 2 Value of the Ratio: 1/2
Ratio: 5: 10 Value of the Ratio: 5/10 if we divide both sides by 5, we can say Value of the Ratio: 1/2
Ratio: 6: 16 Value of the Ratio: 6/16 if we divide both sides by 2, we can say the value is 3/ 8
Ratio: 12: 32 Value of the Ratio: 12/32 if we divide both sides by 4, we can say the value is 3/ 8
<u>If the values are equivalent the ratios are equivalent.</u>
the simplification performed in step 2 is invalid or incorrect