Solve 122×12÷4: Two-Step Arithmetic Operation

Question

$122\times12:4=$

00:00 Solve

00:03 Let's use the distributive law

00:06 Let's break down 122 into 100 plus 20 plus 2

00:14 Convert division to fraction

00:25 Calculate 12 divided by 4

00:29 Multiply the outer factor with each factor in parentheses

00:44 Solve each multiplication separately and then sum

01:06 And this is the solution to the question

First, we break down 122 into smaller numbers and write the division exercise in the form of a fraction:

$(100+20+2)\times\frac{12}{4}=$

We solve the fraction exercise:

$(100+20+2)\times3=$

We then multiply the terms inside the parentheses by 3 and obtain the following result:

$(100\times3)+(20\times3)+(2\times3)=$

Lastly we solve each of the exercises inside of the parentheses:

$300+60+6=366$

366