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How Do You Turn a Terminating Decimal Into a Fraction?
Write the following terminating decimal as a fraction: 0.375
Summary
- 0.375 goes out to the 'thousandths' place value
- The multiplicative identity allows us to multiply any number by one and then get that same number back
- 1000 divided by 1000 is technically just 1, so 375 over 1000 is really the same as 0.375
- When we reduce the fraction, we divide by 125/125, which is another fancy form of 1!

Notes
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- The bottom of our fraction is called a denominator
- The 'thousandths' place is the 3rd place value past the decimal
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- The multiplicative identity allows us to multiply any number by one and then get that same number back
- If we multiply the numerator and the denominator by the same number, all we've done is multiply by a fancy form of one!
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- So in this case, we have 3 digits in our decimal, and that means we need 3 zeros after the 1. That's one way of knowing that we need to multiply 0.375 by 1000 to get our fraction!
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- The greatest common factor between 375 and 1000 is 125.