Solve 9/x = 6/5

Step by step

The question

Question: solve 9/x = 6/5.

Two fractions are equal.

1 Cross multiply

When two fractions are equal, we can cross multiply.

These two are equal.

Work out the multiplications.

Let's swap the two sides, so x is on the left.

2 Remove the 6

6x means 6 times x.

We want just x.

To remove times 6, we divide by 6.

We do it on both sides.

Why both sides?

The = sign means both sides are the same amount.

If we change only one side, they are not the same any more.

6 divided by 6 is 1.

So just x is left.

We can make 45/6 simpler.

It is the same as 15/2.

So x = 15/2!

3 Check

Let's check: put 15/2 in place of x.

First the left side.

Now the right side.

Both sides are 45.

So x = 15/2 is right!

Let's look back.

First: cross multiply.

Then: remove the 6.

Last: check.