Question

Find the number that makes the ratio equivalent to 8:10.

Answer 1

SEE BELOW⬇

Explanation:

To find the number that makes the ratio equivalent to 8:10, We need to simplify the ratio by dividing both parts by their greatest common divisor.

• The GCD of 8 and 10 is 2.

Now, divide both parts of the ratio by 2:

• 8 ÷ 2 = 4
• 10 ÷ 2 = 5

So, the simplified ratio is 4:5.

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➡ To find the number that makes this ratio equivalent, We can set up a proportion:

• 4/x = 5/1

Now, cross-multiply:

• 4 × 1 = 5 × x

• 4 = 5x

Now, solve for x by dividing both sides by 5:

• x = 4/5

So, the number that makes the ratio 8:10 equivalent to 4:5 is 4/5.