Compare 11:8 Division: Is the Quotient Less Than 1?

Division Comparison with Quotient Estimation

Without calculating, determine whether the quotient in the following division is less than 1:

11:8 11:8

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's decide if the answer is less than or greater than 1, without calculating.
00:11 Here, the top number, or numerator, is bigger than the bottom number, or denominator.
00:20 For fractions like this, where the numerator is larger, the result is greater than 1.
00:32 And that's how we find the answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Without calculating, determine whether the quotient in the following division is less than 1:

11:8 11:8

2

Step-by-step solution

Note that the numerator is smaller than the denominator:

11>8 11 > 8

As a result, it can be written like this:

118>1 \frac{11}{8} > 1

Therefore, the quotient in the division problem is not less than 1.

3

Final Answer

More than 1

Key Points to Remember

Essential concepts to master this topic
  • Rule: When numerator > denominator, quotient is greater than 1
  • Technique: Compare 11 and 8 directly: since 11 > 8, then 118>1 \frac{11}{8} > 1
  • Check: Think 8 ÷ 8 = 1, so 11 ÷ 8 must be larger ✓

Common Mistakes

Avoid these frequent errors
  • Confusing which number goes where in the comparison
    Don't think 8:11 when the problem shows 11:8 = wrong comparison! This flips the fraction and gives the opposite result. Always read division problems carefully: 11:8 means 11 ÷ 8, not 8 ÷ 11.

Practice Quiz

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Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

Why don't I need to calculate the exact answer?

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You can determine if a quotient is greater or less than 1 by simply comparing the dividend and divisor. If the dividend (first number) is larger, the quotient is greater than 1!

How do I remember which number is the dividend?

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In 11:8, the first number (11) is what's being divided. Think of it as "11 things divided into groups of 8." Since you have more than 8 things, you'll get more than 1 group!

What if the numbers were really close, like 9:8?

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Even if they're close, the same rule applies! Since 9 > 8, the quotient 98 \frac{9}{8} is still greater than 1, just barely above 1.

Does this work for decimals too?

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Absolutely! If you had 5.2 ÷ 4.8, since 5.2 > 4.8, the quotient would be greater than 1. The comparison method works for all positive numbers.

When would a quotient be exactly equal to 1?

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A quotient equals 1 when the dividend equals the divisor, like 7:7 = 1. Any number divided by itself always equals 1!

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