Solve the Expression: 6/3 × 1 Step-by-Step

Order of Operations with Basic Fractions

63×1= ? \frac{6}{3}\times1=\text{ ?}

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Step-by-step video solution

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00:00 Solve
00:02 Any number multiplied by 1 equals itself
00:05 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}\times1=\text{ ?}

2

Step-by-step solution

According to the order of operations, we will solve the exercise from left to right since it only contains multiplication and division operations:

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

2×1=2 2\times1=2

3

Final Answer

2 2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Simplify fractions first, then multiply left to right
  • Technique: Calculate 63=2 \frac{6}{3} = 2 , then 2×1=2 2 \times 1 = 2
  • Check: Verify by working backwards: 2÷1=2 2 \div 1 = 2 and 2×3=6 2 \times 3 = 6

Common Mistakes

Avoid these frequent errors
  • Multiplying before simplifying the fraction
    Don't try to multiply 6×1=6 6 \times 1 = 6 first and then divide by 3 = wrong process! This ignores proper order of operations and can lead to confusion. Always simplify fractions first, then multiply from left to right.

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why do I simplify the fraction before multiplying?

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The order of operations tells us to handle division (or fractions) before multiplication when reading left to right. So 63 \frac{6}{3} becomes 2 first, then we multiply by 1.

What if the fraction doesn't simplify to a whole number?

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That's totally fine! Just leave it as a fraction and multiply. For example, 73×1=73 \frac{7}{3} \times 1 = \frac{7}{3} . The process stays the same.

Does multiplying by 1 always give the same number?

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Yes! Multiplying any number by 1 is the identity property - the number stays exactly the same. So 2×1=2 2 \times 1 = 2 .

Can I solve this problem in a different order?

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You could, but it's risky! Following left to right order with multiplication and division prevents mistakes. Stick to the standard order: simplify fractions first, then multiply.

How do I check if my final answer is correct?

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Substitute back into the original expression: does 63×1 \frac{6}{3} \times 1 really equal 2? Since 63=2 \frac{6}{3} = 2 and 2×1=2 2 \times 1 = 2 , yes!

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