Solve Decimal Division: 0.3 ÷ 0.5 Step by Step

0.30.5= \frac{0.3}{0.5}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this problem together.
00:07 First, change the decimal numbers into fractions.
00:11 Next, switch division to multiplication by using the reciprocal.
00:15 Now, simplify wherever possible.
00:19 And that gives us our final solution. Great job!

Step-by-step written solution

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1

Understand the problem

0.30.5= \frac{0.3}{0.5}=

2

Step-by-step solution

Let's convert the decimal fractions to simple fractions:

0.3=310 0.3=\frac{3}{10}

0.5=510 0.5=\frac{5}{10}

We'll write the division problem as follows:

310510 \frac{\frac{3}{10}}{\frac{5}{10}}

Let's convert the division problem to a multiplication problem.

We'll multiply 310 \frac{3}{10} by the reciprocal of 510 \frac{5}{10} as follows:

310×105 \frac{3}{10}\times\frac{10}{5}

We'll solve it this way:

3×1010×5 \frac{3\times10}{10\times5}

We'll cancel out the 10 in the numerator with the 10 in the denominator and get:

35 \frac{3}{5}

3

Final Answer

35 \frac{3}{5}

Practice Quiz

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Write the following fraction as a decimal:

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

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