What is the equivalent of 7.25 as a fraction?

The decimal value 7.25 as a fraction is equal to 29/4.

7.25 as a fraction is equal to 29/4

Steps for dividing numbers:

  • Converting 7.25 into a fraction involves several steps. Firstly, we can express 7.25 in fractional form 7.25/1.
  • In the next step, we determine the number of decimal places in 7.25, which is 2.

    To convert the decimal into a fraction, we multiply the numerator and denominator of 7.25/1 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 7.25/1 by 100:

    7.25 × 100
    ---------------
    1 × 100

    This simplifies to:
    725
    -------------
    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 725/100.

    First, let's find the factors of the numerator (725) 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:

    72500 ÷ 5
    ------------------
    100 ÷ 5

    This results in the simplest form fraction:
    145
    --------
    20

    Therefore, the fraction equivalent to 7.25 is 29/4 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 7.25 is equivalent to 29/4. By utilizing this calculator, you can ensure the accuracy of your conversion.

Few Practice questions

In the fraction 29/4, the number 29 represents






In the fraction 29/4, the number 4 represents






Which of the below fraction is equivalent to 29/4 fraction






Other Fractional Values :
What is 7.25 as a fraction ? 3 Stepwise examples