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?

Respuesta :

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

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.

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:

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.