13.375 as a Fraction

Answer

The answer for 13.375 as a fraction will be 53/4.

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, 13.375 is the number, so it can be expressed as 13.375/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 1000 (because there are 3 decimal places). 13.375/1 × 1000/1000 = 13375/1000

Step 3: Here, 25 is the GCD of 13375 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 25. 13375/1000 = 535/40

Step 4: Further simplifying by dividing both numerator and denominator by 5, we get: 535/40 = 107/8

Step 5: Since 13.375 is a mixed number, it can also be expressed as an improper fraction. 13 + 3/8 = 104/8 + 3/8 = 107/8

Thus, 13.375 can be written as a fraction 107/8.

• 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.