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Let's write the expression in the following form:
We'll divide both the numerator and denominator by 3 and get:
Write the fraction shown in the picture, in words:
The colon (:) means division! It's the same as the ÷ symbol or writing it as a fraction. So 18:3 = 18÷3 = .
Use the multiplication check! If 18÷3 = 6, then 6×3 should equal 18. Since 6×3 = 18, your answer is correct!
Writing helps you see the division clearly. You can then simplify by finding what number goes into both 18 and 3 evenly.
Sometimes division gives you a remainder or a decimal answer. But in this problem, 18÷3 divides evenly because 3 goes into 18 exactly 6 times!
With practice, you can use multiplication facts! Since you know 3×6 = 18, you immediately know that 18÷3 = 6. It's the same fact, just backwards!
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