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What is 3 ¼ as a Decimal?

Answer – The mixed fraction 314 can be expressed in the form of a decimal as 3.25.

Explanation:

There are two methods to convert a given mixed fraction into a decimal.

Method 1:

  • Leave the whole number part of the given mixed fraction as is.
  • Divide the numerator of the proper fraction part by the denominator.
  • Add the quotient obtained from division to the whole number part and get the given fraction in its decimal form.

Method 2:

  • Convert the mixed fraction into an improper fraction.
  • Divide the numerator by the denominator.
  • The quotient obtained from division is the decimal equivalent of the given fraction.

Let’s now solve the given question using the first method.

We leave the whole number part of the given fraction, which is 3, as is and proceed to divide the numerator 1 of the proper fraction part by the denominator 4.

The image below shows the steps of division:

Long division to convert 3 1/4 to a decimal

Now, since 1 ÷ 4 = 0.25, we add this quotient to the whole number 3:

3 + 0.25 = 3.25

Thus, 314 can be expressed in the decimal form as 3.25.


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