Table Of Contents
Last updated on March 17th, 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, 45 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 20. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
45/20 in decimals can be written as 2.25. It is a terminating decimal, showing it ends after a certain number of digits.
To convert 45/20 into a decimal, we will use the division method. Since 45 is larger than 20, we can directly divide. Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator because the numerator (45) will be taken as the dividend and the denominator (20) will be taken as the divisor.
Step 2: Divide 45 by 20. Since 45 is greater than 20, we can proceed with the division.
Step 3: Determine how many times 20 fits into 45. 20 goes into 45 two times since 20 × 2 = 40. Write 2 in the quotient place.
Step 4: Subtract 40 from 45, which gives a remainder of 5.
Step 5: Bring down a 0 to make it 50. Now, divide 50 by 20, which fits 2 times since 20 × 2 = 40. Write 2 in the quotient place.
Step 6: Subtract 40 from 50, which gives a remainder of 10.
Step 7: Bring down another 0 to make it 100. Now, divide 100 by 20, which fits 5 times since 20 × 5 = 100. Write 5 in the quotient place. The division process ends here as the remainder is 0.
The answer for 45/20 as a decimal will be 2.25.