Solve x/4 = 7/10

Step by step

The question

Question: solve x/4 = 7/10.

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 10

10x means 10 times x.

We want just x.

To remove times 10, we divide by 10.

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.

10 divided by 10 is 1.

So just x is left.

We can make 28/10 simpler.

It is the same as 14/5.

So x = 14/5!

3 Check

Let's check: put 14/5 in place of x.

We get 28, the same as the right side.

So x = 14/5 is right!

Let's look back.

First: cross multiply.

Then: remove the 10.

Last: check.