What is the equivalent of 11.75 as a fraction?

The decimal value 11.75 as a fraction is equal to 47/4.

11.75 as a fraction is equal to 47/4

Steps for dividing numbers:

  • Converting 11.75 into a fraction involves several steps. Firstly, we can express 11.75 in fractional form 11.75/1.
  • In the next step, we determine the number of decimal places in 11.75, which is 2.

    To convert the decimal into a fraction, we multiply the numerator and denominator of 11.75/1 by 10, raised to the power of the number of decimal places. For example, if there were 2 decimal places, like in 0.45, we would multiply by 100. Or if there were 3 decimal places like in 0.324, we would multiply by 1000.

    Therefore, in this case, we multiply the numerator and denominator of 11.75/1 by 100:

    11.75 × 100
    1 × 100

    This simplifies to:
  • The final step involves simplifying the fraction obtained in the previous step by canceling out any common factors, if possible. To do this, we examine the numerator and denominator of the fraction 1175/100.

    First, let's find the factors of the numerator (1175) and the denominator (100).

    Upon comparison, we find that the numerator and denominator have a common factor 5. By dividing the numerator and denominator by 5, we simplify the fraction:

    117500 ÷ 5
    100 ÷ 5

    This results in the simplest form fraction:

    Therefore, the fraction equivalent to 11.75 is 47/4 after simplification.

To validate your answer, you can use the Find What Is's Fraction to Decimal Calculator. This user-friendly tool allows you to confirm that the fractional representation of 11.75 is equivalent to 47/4. By utilizing this calculator, you can ensure the accuracy of your conversion.

Few Practice questions

In the fraction 47/4, the number 47 represents

In the fraction 47/4, the number 4 represents

Which of the below fraction is equivalent to 47/4 fraction

Other Fractional Values :
What is 11.75 as a fraction ? 3 Stepwise examples