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107 LearnersLast updated on March 16th, 2025
40/9 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 40, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. 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.
What is 40/9 as a decimal?
Answer:
40/9 in decimals can be written as 4.4444… It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation:
To get 40/9 in decimal, we will use the division method. Here, as 40 is larger than 9, we can directly perform the division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (40) will be taken as the dividend and the denominator (9) will be taken as the divisor.
Step 2: Divide 40 by 9. The number 9 goes into 40 four times since 9 × 4 = 36. So, write 4 in the quotient place.
Step 3: Subtract 36 from 40, which gives us a remainder of 4.
Step 4: Bring down a 0 to make it 40 and repeat the division process.
Step 5: Divide 40 by 9 again.
The process continues with results repeating, thus the answer for 40/9 as a decimal will be 4.4444…
Important Glossaries for 40/9 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.
- Recurring Decimal: A decimal that repeats the same sequence of digits infinitely.
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