Question

fill in the blanks
what's the ratio equivalent to 1:4
blank:6

Answer 1

To find the ratio equivalent to 1:4 where the second part of the ratio is 6, you can set up a proportion.

Starting with the ratio \(1:4\), we want to find the first part (let's call it \(x\)) such that:

\[
\frac{x}{6} = \frac{1}{4}
\]

To solve for \(x\), cross-multiply:

\[
x \cdot 4 = 1 \cdot 6
\]

This simplifies to:

\[
4x = 6
\]

Now, divide both sides by 4:

\[
x = \frac{6}{4} = \frac{3}{2}
\]

So the ratio equivalent to \(1:4\) when the second part is 6 is:

\(\frac{3}{2}:6\) or \(3:8\) (by multiplying both sides by 4).

Thus, the answer is:

**3:6** is equivalent, meaning the blank is **3**.