How do you find the reciprocal of a decimal?

Finding the reciprocal of a decimal is quite simple. To do this, you need to follow these straightforward steps:

  1. Convert the decimal to a fraction: Write the decimal as a fraction with the decimal number as the numerator and 1 as the denominator. For example, if your decimal is 0.25, you can express it as 0.25/1.
  2. Eliminate the decimal: To convert it into a more manageable fraction, multiply the numerator and the denominator by 100 (if there are two decimal places) or by 10 (if there is one decimal place). So, 0.25/1 becomes 25/100.
  3. Simplify the fraction: If possible, simplify the fraction. In our example, 25/100 can be simplified to 1/4.
  4. Invert the fraction: The reciprocal is simply the inverted version of the simplified fraction. So, the reciprocal of 1/4 is 4/1, which equals 4.

In summary, to find the reciprocal of a decimal, convert it into a fraction, simplify it if necessary, and then invert the fraction. This process will give you the reciprocal you need.

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