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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

  1. 0.375 goes out to the 'thousandths' place value
  2. The multiplicative identity allows us to multiply any number by one and then get that same number back
  3. 1000 divided by 1000 is technically just 1, so 375 over 1000 is really the same as 0.375
  4. When we reduce the fraction, we divide by 125/125, which is another fancy form of 1!

Notes

    1. The bottom of our fraction is called a denominator
    2. The 'thousandths' place is the 3rd place value past the decimal
    1. The multiplicative identity allows us to multiply any number by one and then get that same number back
    2. If we multiply the numerator and the denominator by the same number, all we've done is multiply by a fancy form of one!
    1. 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!
    1. The greatest common factor between 375 and 1000 is 125.