Step by step
The question
Question: solve 2/7 = 6 over x.
Two fractions are equal.
27 = 6x
1 Cross multiply
When two fractions are equal, we can cross multiply.
These two are equal.
2 × x = 6 × 7
Work out the multiplications.
2x = 42
2 Remove the 2
2x means 2 times x.
We want just x.
To remove times 2, we divide by 2.
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.
2 divided by 2 is 1.
So just x is left.
42 divided by 2 is 21.
422 = 21
So x = 21!
x = 21
3 Check
Let's check: put 21 in place of x.
First the left side.
Left: 27
Now the right side.
Right: 621 = 6÷321÷3 = 27
Both sides are 2/7.
So x = 21 is right!
Both sides equal 27
Let's look back.
First: cross multiply.
Then: remove the 2.
Last: check.
Answer
x = 21