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Write the following decimal number in its equivalent fraction form. Show all work for full credit. 0.6

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0.6 is equal to 6/10 and simplifies to 3/5

3/5 is the anwser
User Eoin Campbell
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Answer: 6/10, 6/100, 6/1000....etc.

Step-by-step explanation:

Equivalent equivalent decimals or fractions are decimals or fractions that name the same value.

Adding any number of zeros to the right of the last digit (other than zero digit) of a decimal is an equivalent decimal to the same decimal number without the zeros. In simple terms, you can take any decimal and create equivalent forms by simply adding zeros to the right of it. It doesn't matter how many zeros you add to the right of the number, it will always be an equivalent form.

Now decimals are represented as fractions by noting and naming their positions—tenths, hundredths etc.

0.6 becomes 6/10

To produce equivalent forms of this fraction, one simply adds zeros to the right side of the denominator to produce

6/10, 6/100, 6/1000, 6/10000 and so on. It doesn't matter the number of zeros you add.

Say you reduce the fraction to its most reducible form, 6/10 becomes 3/5. To get equivalent forms of 3/5 you multiply both the numerator and denominator by any same whole number value say "x"

3/5 becomes equivalent to 3x/5x.

I hope it helps.

User MegaMatt
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