Convert Decimal 1.4 to Simplified Fraction Form

Convert into a mixed fraction:

1.4 1.4

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's write this as a simplified fraction.
00:06 Take each number after the decimal point and divide it by its place value.
00:12 Next, find the right denominator for the fraction.
00:16 Don't forget to add 1 as needed.
00:23 Simplify by dividing both the top and bottom by the same amount.
00:37 And that's how we find the solution!

Step-by-step written solution

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1

Understand the problem

Convert into a mixed fraction:

1.4 1.4

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 4 by 10 and add 1 which represents one whole number, as follows:

1+410 1+\frac{4}{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:

1+4:210:2=1+25=125 1+\frac{4:2}{10:2}=1+\frac{2}{5}=1\frac{2}{5}

3

Final Answer

125 1\frac{2}{5}

Practice Quiz

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Reduce the following fraction:

\( 0.30 \)

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