Solve x/10 = 3/5

Step by step

The question

Question: solve x/10 = 3/5.

Two fractions are equal.

1 Cross multiply

When two fractions are equal, we can cross multiply.

These two are equal.

Work out the multiplications.

2 Remove the 5

5x means 5 times x.

We want just x.

To remove times 5, we divide by 5.

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.

5 divided by 5 is 1.

So just x is left.

30 divided by 5 is 6.

So x = 6!

3 Check

Let's check: put 6 in place of x.

First the left side.

Now the right side.

Both sides are 3/5.

So x = 6 is right!

Let's look back.

First: cross multiply.

Then: remove the 5.

Last: check.