What is the equivalent of 0.675 as a fraction?

The decimal value 0.675 as a fraction is equal to 27/40.

0.675 as a fraction is equal to 27/40

Steps for dividing numbers:

  • Converting 0.675 into a fraction involves several steps. Firstly, we can express 0.675 in fractional form 0.675/1.
  • In the next step, we determine the number of decimal places in 0.675, which is 2.

    To convert the decimal into a fraction, we multiply the numerator and denominator of 0.675/1 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 0.675/1 by 100:

    0.675 × 100
    ---------------
    1 × 100

    This simplifies to:
    67.5
    -------------
    100
  • 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 67.5/100.

    First, let's find the factors of the numerator (67.5) 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:

    6750 ÷ 5
    ------------------
    100 ÷ 5

    This results in the simplest form fraction:
    13.5
    --------
    20

    Therefore, the fraction equivalent to 0.675 is 27/40 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 0.675 is equivalent to 27/40. By utilizing this calculator, you can ensure the accuracy of your conversion.

Few Practice questions

In the fraction 27/40, the number 27 represents






In the fraction 27/40, the number 40 represents






Which of the below fraction is equivalent to 27/40 fraction






Other Fractional Values :
What is 0.675 as a fraction ? 3 Stepwise examples