To writea fraction in its simplest form means that the numerator and denominatorcan no longer be divided by the same whole number exactly or evenly.
Answer: The value of 7.5as a fraction in simplest form is 15/2 or 7½.
Explanation:
Let us convert the decimal number7.5into a fractionin the simplest form.
Step 1: Convert 7.5to a fraction form by removing the decimal point anddividing it by 10, since there is onenumber to the right of the decimal point.
7.5= 75/ 10
Step 2:Find the GCFor the greatestcommon factor of 75and 10.
Here, 5is the GCF
Step 3:Divide the numbers by the GCF to simplify fraction and reduceto itssimplest 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 amixed fractionwe will divide15 by 2 toget,
Quotient 7 as the whole part, in the fractional part remainder 1 as the numerator, and divisor 2 as the denominator.
⇒ 15/ 2 = 7½