What is 7.5 as a fraction in simplest form?

To write a fraction in its simplest form means that the numerator and denominator can no longer be divided by the same whole number exactly or evenly.

Answer: The value of 7.5 as a fraction in simplest form is 15/2  or 7½.

Explanation:

Let us convert the decimal number 7.5 into a fraction in the simplest form.

Step 1: Convert 7.5 to a fraction form by removing the decimal point and dividing it by 10, since there is one number to the right of the decimal point.

7.5 = 75 / 10

Step 2: Find the GCF or the greatest common factor of 75 and 10.

Here, 5 is the GCF

Step 3: Divide the numbers by the GCF to simplify fraction and reduce to its simplest form.

⇒ (75 ÷ 5) / (10 ÷ 5) =  15/ 2.

As we know that if numerator > denominator then it is an improper fraction.

Step 4:  To convert an improper fraction to a mixed fraction we will divide 15 by 2 to get, 

Quotient 7 as the whole part, in the fractional part remainder 1 as the numerator, and divisor 2 as the denominator.

⇒ 15/ 2 = 7½

Thus, 7.5 as a fraction in simplest form is 15/2  or 7½.