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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 from the whole. It has two parts, 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 40. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
45/40 in decimals can be written as 1.125. It is a terminating decimal, meaning it stops after a few digits.
To convert 45/40 to a decimal, we will use the division method. Since 45 is larger than 40, we can perform the division directly. 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 (40) will be taken as the divisor.
Step 2: Divide 45 by 40. The division gives 1 with a remainder.
Step 3: Since 40 goes into 45 once, we write 1 in the quotient place. Subtract 40 from 45 to get 5.
Step 4: Bring down a 0, making it 50, and continue the division process. Now divide 50 by 40.
Step 5: 40 goes into 50 once, so add 1 to the quotient and subtract 40 from 50 to get 10.
Step 6: Bring down another 0, making it 100. Divide 100 by 40, which goes 2 times. Subtract 80 from 100 to get 20.
Step 7: Bring down another 0, making it 200. Divide 200 by 40, which goes 5 times. Subtract 200 from 200 to get 0. The division process concludes with a remainder of 0, indicating a terminating decimal.
The answer for 45/40 as a decimal is 1.125.