Solve Decimal Division: 0.5 ÷ 4 Step-by-Step

Solve the following expression:

0.54= ? \frac{0.5}{4}=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's start by solving the problem.
00:08 First, change the decimal into a fraction.
00:12 Then, turn the division into multiplication using the reciprocal.
00:17 Remember: multiply the top numbers with the top, and the bottom numbers with the bottom.
00:22 And there you go! That's how we solve this question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following expression:

0.54= ? \frac{0.5}{4}=\text{ ?}

2

Step-by-step solution

First let's convert the decimal fraction into a simple fraction:

0.54=124 \frac{0.5}{4}=\frac{\frac{1}{2}}{4}

Then we can convert the division operation into a multiplication operation.

Next, we'll multiply 12 \frac{1}{2} by the reciprocal of 4 as follows:

12×14 \frac{1}{2}\times\frac{1}{4}

Finally, we solve the problem as follows:

1×12×4=18 \frac{1\times1}{2\times4}=\frac{1}{8}

3

Final Answer

18 \frac{1}{8}

Practice Quiz

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Write the following fraction as a decimal:

\( \frac{5}{100}= \)

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