Convert 2.6 to a Simplified Fraction: Step-by-Step Solution

Convert into a mixed fraction:

2.6 2.6

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Write as a reduced and simplified fraction
00:03 Divide each digit after the decimal point by the division amount it represents
00:08 Place the appropriate denominator
00:11 Remember to add 2
00:17 Reduce as much as possible, make sure to divide both numerator and denominator
00:32 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

Convert into a mixed fraction:

2.6 2.6

2

Step-by-step solution

Let's write the decimal fraction as a mixed fraction.

Since there is one digit after the decimal point, we divide 6 by 10 and add 2, as follows:

2+610 2+\frac{6}{10}

Now let's divide the simple fraction by the highest number that can divide both the numerator and denominator, in this case the number is 2:

2+6:210:2=2+35=235 2+\frac{6:2}{10:2}=2+\frac{3}{5}=2\frac{3}{5}

3

Final Answer

235 2\frac{3}{5}

Practice Quiz

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Reduce the following fraction:

\( 0.30 \)

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