Solve Decimal Division: 0.18 ÷ 0.3 Step-by-Step

Decimal Division with Equivalent Multiplication

0.18:0.3= 0.18:0.3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Multiply each factor by 10
00:20 Perform long division between the new numbers
00:24 Try to divide the first digit
00:28 It doesn't divide, so we'll add the next digit and divide
00:50 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

0.18:0.3= 0.18:0.3=

2

Step-by-step solution

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

  • Step 1: Convert 0.3 0.3 (the divisor) into a whole number by multiplying both 0.18 0.18 and 0.3 0.3 by 10.
  • Step 2: Perform the division with whole numbers.

Let's perform the steps:

Step 1: Multiply both 0.18 0.18 and 0.3 0.3 by 10 to get:

(0.18×10)=1.8 (0.18 \times 10) = 1.8

(0.3×10)=3 (0.3 \times 10) = 3

Step 2: Now divide the whole numbers:

1.83=0.6 \frac{1.8}{3} = 0.6

Thus, the division of 0.18 0.18 by 0.3 0.3 results in 0.6 0.6 .

3

Final Answer

0.6 0.6

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply both numbers by same power of 10 to eliminate decimals
  • Technique: Convert 0.18 ÷ 0.3 to 1.8 ÷ 3 by multiplying by 10
  • Check: Verify 0.6 × 0.3 = 0.18 to confirm division is correct ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal points different amounts in dividend and divisor
    Don't move the decimal point 1 place in 0.18 but 2 places in 0.3 = unequal multiplication! 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 do I multiply both numbers by 10 instead of just removing decimals?

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You must multiply both numbers by the same amount to keep the division equal! If you just 'remove' decimals randomly, you change the problem completely.

What if the divisor has more decimal places than the dividend?

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Always look at the number with more decimal places! Multiply both numbers by enough powers of 10 to make that number whole. For example, if dividing by 0.003, multiply both by 1000.

Can I just do 18 ÷ 3 and get 6?

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No! 18÷3=6 18 ÷ 3 = 6 , but 0.18÷0.3=0.6 0.18 ÷ 0.3 = 0.6 . You must keep track of where the decimal point belongs in your final answer.

How do I know where to put the decimal in my answer?

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After converting to whole numbers and dividing, your answer is already correct! When you multiply both dividend and divisor by the same amount, the decimal placement is automatically right.

What's the fastest way to check my division answer?

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Use multiplication! Multiply your answer by the original divisor. If you get the original dividend, you're correct: 0.6×0.3=0.18 0.6 × 0.3 = 0.18

Why is 0.18 ÷ 0.3 bigger than 0.18?

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When you divide by a number less than 1, the result gets bigger! Think of it as 'how many 0.3s fit into 0.18?' The answer is 0.6, which means a bit more than half of one 0.3.

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