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104 LearnersLast updated on March 18th, 2025
53/40 as a Decimal
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, 53, 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 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.
What is 53/40 as a decimal?
Answer
53/40 in decimals can be written as 1.325. It is a terminating decimal, indicating it does not repeat infinitely.
Explanation
To get 53/40 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 (53) will be taken as the dividend and the denominator (40) will be taken as the divisor.
Step 2: Perform the division 53 ÷ 40. Since 53 is greater than 40, we can directly divide without needing to add a decimal initially.
Step 3: Divide 53 by 40. The first digit of the quotient is 1, because 40 goes into 53 once. Write 1 in the quotient place.
Step 4: Subtract 40 from 53 to get 13.
Step 5: Bring down a 0 to make it 130, and then divide 130 by 40. 40 goes into 130 three times, with 10 remaining. Write 3 in the quotient place.
Step 6: Bring down another 0 to make it 100, and then divide 100 by 40. 40 goes into 100 two times, with 20 remaining. Write 2 in the quotient place.
Step 7: Bring down another 0 to make it 200, and then divide 200 by 40. 40 goes into 200 five times, with no remainder. Write 5 in the quotient place.
The answer for 53/40 as a decimal will be 1.325.
Important Glossaries for 53/40 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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