Table Of Contents
Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 66, which represents how many parts out of the whole, and the denominator (number below), here it is 25, 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 to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
66/25 in decimals can be written as 2.64. It is a terminating decimal, meaning it does not repeat infinitely.
To get 66/25 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (66) will be taken as the dividend, and the denominator (25) will be taken as the divisor.
Step 2: Divide 66 by 25. Let's see how many times 25 fits into 66.
Step 3: 25 is multiplied by 2 to get 50, which is the closest product less than 66.
Step 4: Write 2 in the quotient place and subtract 50 from 66, which gives 16.
Step 5: Bring down a 0 to make it 160, then divide by 25. 25 goes into 160 six times (25 × 6 = 150).
Step 6: Write 6 in the quotient place and subtract 150 from 160, which gives 10. Bring down another 0 to make it 100.
Step 7: Divide 100 by 25, which goes 4 times (25 × 4 = 100), leaving no remainder.
The answer for 66/25 as a decimal will be 2.64.