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Last updated on March 18th, 2025
This is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 72, which represents how many parts out of the whole, and the denominator (number below), here 5, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
72/5 in decimals can be written as 14.4. It is a terminating decimal, indicating that it ends after a finite number of digits.
To convert 72/5 to a decimal, we will use the division method. Since 72 is larger than 5, we can directly divide.
Step 1: Identify the numerator and denominator because the numerator (72) will be taken as the dividend and the denominator (5) will be taken as the divisor.
Step 2: Divide 72 by 5. The division gives a quotient of 14 with a remainder.
Step 3: Calculate how many times 5 fits into 72. 5 × 14 = 70.
Step 4: Subtract 70 from 72 to get a remainder of 2.
Step 5: Bring down a 0 to make the remainder 20.
Step 6: Divide 20 by 5 to get 4. Place 4 in the quotient after the decimal point. The division process ends here because the remainder becomes 0, making it a terminating decimal.
The answer for 72/5 as a decimal is 14.4.