Question

Find the number that makes the equivalent to 9:451:____

Answer 1

1:5

Step-by-step explanation

Equivalent Fractions of 9/45 are fractions that are different than 9/45, but still have the same value, to maintain the ratio, we need to find a number that keeps the proportion

so

Let

Step 1

`\begin{gathered} \text{rati}o_1=\text{ 9:45} \\ ratio_1=\text{ }(9)/(45) \\ ratio_1=(9)/(45) \end{gathered}`

then, Let x represents the missing value, so

`\text{ratio}_2=(1)/(x)`

as the ratios are equivalent, we have a proportion

`ratio_1=\text{ratio}_2`

finally, solve for x

`\begin{gathered} (9)/(45)=(1)/(x) \\ \text{cross multiply} \\ 9\cdot x=45\cdot1 \\ divide\text{ both sides by 9} \\ x=(45)/(9) \\ x=5 \end{gathered}`

therefore, the answer is

1:5

I hope this helps you