Solve the Division Chain: 21:(30:10) Step-by-Step Solution

Question

$21:(30:10)=$

00:00 Solve

00:03 Division is also multiplication by the reciprocal

00:07 Therefore when opening the parentheses, it will end up multiplied by C

00:11 We will use this formula in our exercise

00:16 We will solve according to the order of operations from left to right

00:21 We'll divide by 3, and substitute in our exercise

00:28 We will reduce what we can

00:32 And this is the solution to the question

We will use the formula:

$a:(b:c)=a:b\times c$

Therefore, we will get:

$21:30\times10=$

Let's write the division exercise as a fraction:

$\frac{21}{30}=\frac{7}{10}$

Now let's multiply by 10:

$\frac{7}{10}\times\frac{10}{1}=$

We'll reduce the 10 and get:

$\frac{7}{1}=7$

$7$