Question

Circle any equivalent ratios from the list below.

Ratio: 1: 2
Ratio: 5: 10
Ratio: 6: 16
Ratio: 12: 32

Find the value of the following ratios, leaving your answer as a fraction, but rewrite the fraction using the largest possible unit.

Ratio: 1: 2 Value of the Ratio:
Ratio: 5: 10 Value of the Ratio:
Ratio: 6: 16 Value of the Ratio:
Ratio: 12: 32 Value of the Ratio:

What do you notice about the value of the equivalent ratios?

Answer 1

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

Explanation:

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

So, 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 if we divide both sides by 5, we can say Value of the Ratio: 1/2

Ratio: 6/16 if we divide both sides by 2, we can say the value is 3/ 8

Ratio: 12/32 if we divide both sides by 4, we can say the value is 3/ 8

If the values are equivalent the ratios are equivalent.

Answer 2

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

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

So, we can that the first ratio is equivalent to the second, then, third ratio is equivalent to the forth.

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

If the values are equivalent the ratios are equivalent.