Solve Decimal Division: Calculate 2.4 ÷ 1.2

Decimal Division with Equivalent Fractions

2.4:1.2= 2.4:1.2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Convert each decimal number to a whole number
00:30 Divide between the whole numbers, calculate the quotient
00:36 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

2.4:1.2= 2.4:1.2=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Eliminate decimals by multiplying both numbers by 10.
  • Step 2: Perform integer division.
  • Step 3: Evaluate and verify the final answer.

Now, let's work through each step:
Step 1: Multiply both numbers 2.42.4 and 1.21.2 by 10 to eliminate the decimal points. This gives us 2424 and 1212, respectively.
Step 2: Divide the integers: 24÷12=224 \div 12 = 2.
Step 3: Verify: Multiplying the result 22 by 1.21.2 should give us 2.42.4, confirming the division is correct.

Therefore, the solution to the problem is 2\boxed{2}.

3

Final Answer

2 2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply both numbers by same power of 10 to eliminate decimals
  • Technique: Convert 2.4÷1.2 2.4 ÷ 1.2 to 24÷12=2 24 ÷ 12 = 2
  • Check: Multiply result by divisor: 2×1.2=2.4 2 × 1.2 = 2.4

Common Mistakes

Avoid these frequent errors
  • Moving decimal points different amounts in dividend and divisor
    Don't move the decimal point 1 place in 2.4 and 2 places in 1.2 = unequal operations! This changes the problem completely and gives wrong answers. Always multiply both numbers by the exact same power of 10.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

22.1-12.0

FAQ

Everything you need to know about this question

Why can't I just divide 2.4 by 1.2 directly?

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You absolutely can! But converting to whole numbers first makes the division easier and reduces calculation errors. Both methods give the same answer.

How do I know what power of 10 to use?

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Count the decimal places in both numbers and use the larger count. Since both 2.4 and 1.2 have 1 decimal place, multiply by 10.

What if the numbers have different decimal places?

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Use the number with more decimal places to decide. If you have 2.45 ÷ 1.2, multiply both by 100 since 2.45 has 2 decimal places.

Does this method work for all decimal division?

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Yes! This technique works for any decimal division problem. It's especially helpful when you're not allowed to use a calculator.

How can I check if my answer makes sense?

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Ask yourself: "Is 2.4 about twice as big as 1.2?" Since yes, the answer 2 makes perfect sense! Always do this reasonableness check.

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