11.8125 as a Fraction

Answer

The answer for 11.8125 as a fraction will be 47/4.

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 fraction for easy calculation. Here, 11.8125 is the number on the numerator and the base number 1 will be the denominator. Then, 11.8125 becomes 11.8125/1.

Step 2: To remove decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are four decimal places). 11.8125/1 × 10000/10000 = 118125/10000

Step 3: Here 125 is the GCD of 118125 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 125. 118125/10000 = 945/80

Step 4: Simplify the fraction further by dividing by 5, which is the GCD of 945 and 80. 945/80 = 189/16

Step 5: Since 189/16 is an improper fraction, convert it to a mixed number. 189 ÷ 16 = 11 with a remainder of 13, so 189/16 = 11 13/16

Thus, 11.8125 can be written as a fraction 47/4.

• 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.
   
• Improper Fraction: A fraction where the numerator is greater than or equal to the denominator, indicating a value greater than or equal to one.