Question

Explain why 6:4 and 18:8 are not equivalent ratios.

Answer 1

Answer:

Since these fractions are not equal therefore, these ratios can't be equivalent. Explanation. 6:4 can be divided by 2 to make its simplest form of 3:2. However 18:8 can also be divided creating its simplest from of 9:4.

Answer 2

6:4 and 18:8 are not equivalent ratios.

Step-by-step explanation:

Given:

Ratios  6:4 and 18:8 are not equivalent ratios.

To Find:

6:4 and 18:8 are not equivalent ratios and  provide explanation for why.

Concept Used:

Equivalent ratios are the ratios which are the same when we compare them.

Two ratios are considered equivalent to each other if one of them can be expressed as the multiple of the other.

Solution:

As given, ratios  6:4 and 18:8 are not equivalent ratios.

The given ratios can be written as fractions.

$6:4 =\frac{6}{4}$

$18:8=\frac{18}{8}$

Now, we can find the common factors that divide the numerator and denominator evenly and hence we get the simplified form of fractions.

$\frac{6}{4}=\frac{3}{2} \ (HCF =2)$

$\frac{18}{8}=\frac{9}{4} \ (HCF=2)$

Therefore, we can see all the above fractions are equivalent since their simplified forms are not the same. Therefore, the given ratios are not equivalent to each other.

Thus,6:4 and 18:8 are not equivalent ratios.

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