Solve 6/3 - 1: Basic Fraction Division and Subtraction

Order of Operations with Simple Fractions

63−1= \frac{6}{3}-1=

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Step-by-step video solution

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00:00 Solve
00:06 Divide numerator and denominator by 3
00:09 Continue solving
00:11 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

63−1= \frac{6}{3}-1=

2

Step-by-step solution

According to the order of operations rules, we must first solve the fraction:

63=2 \frac{6}{3}=2

Resulting in the following expression:

2−1=1 2-1=1

3

Final Answer

1 1

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always simplify fractions before performing other operations
  • Technique: Calculate 63=2 \frac{6}{3} = 2 first, then subtract 1
  • Check: Verify that 2 - 1 = 1 matches the correct answer ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting before simplifying the fraction
    Don't try to compute 6−13=53 \frac{6-1}{3} = \frac{5}{3} ! This changes the expression completely and gives a wrong answer. Always follow order of operations: simplify 63 \frac{6}{3} first, then subtract 1.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( 12+3\cdot0= \)

FAQ

Everything you need to know about this question

Why can't I subtract 1 from the numerator first?

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Because order of operations says to handle division (fractions) before subtraction! 63−1 \frac{6}{3} - 1 means "6 divided by 3, then subtract 1", not "6 minus 1, then divide by 3".

How do I know when to simplify a fraction?

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Always simplify fractions first! If you can divide the numerator by the denominator evenly, like 63=2 \frac{6}{3} = 2 , do it right away to make the rest easier.

What if I get confused about the order?

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Remember PEMDAS! Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Fractions count as division, so handle them before subtraction.

Is there a way to check my work?

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Yes! Work backwards: if your answer is 1, then 1 + 1 = 2, and 63=2 \frac{6}{3} = 2 . Since both equal 2, your answer is correct!

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