13.625 as a Fraction

Answer

The answer for 13.625 as a fraction will be 109/8.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 13.625 is the number with the whole part 13 and the fractional part 0.625. Initially, consider 0.625 as a fraction by placing it over 1, which becomes 0.625/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.625/1 × 1000/1000 = 625/1000

Step 3: Here, 125 is the GCD of 625 and 1000. To make the fraction simpler, divide the numerator and denominator by 125. 625/1000 = 5/8

Step 4: Now add the whole number part back to the fraction. The whole number part is 13, so we have 13 + 5/8, which is equivalent to (13 × 8 + 5)/8 = 109/8.

Thus, 13.625 can be written as a fraction 109/8.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Mixed Number: A number consisting of an integer and a proper fraction.