Question

Rewrite 2/10 : 1/25 as a unit rate.
A. 50:1 B. 1:125 C. 50:10 D. 5:1

Answer 1

D. 5:1

Explanation:

Let's break down the fraction
`\((2)/(10) : (1)/(25)\)` into a unit rate.

Firstly, simplify
`\((2)/(10)\) to \((1)/(5)\)`. Now, it becomes
`\((1)/(5) : (1)/(25)\)`.

To make the denominator of the second fraction match the first one, multiply both the numerator and denominator by 5:

`\[ (1)/(5) : (1 * 5)/(25) \]`

This simplifies to
`\((1)/(5) : (5)/(25)\)`.

Now, both fractions have the same denominator, so we can compare the numerators directly:

`\[ 1 : 5 \]`

So, the unit rate is 1:5. D. 5:1