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113 LearnersLast updated on March 4th, 2025
45/54 as a Decimal
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 54. 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.
What is 45/54 as a decimal?
Answer
45/54 in decimals can be simplified to 5/6, and then written as 0.83333….. It is a recurring decimal, indicating it will repeat the digit infinitely.
Explanation
To get 45/54 in decimal, we will first simplify it to 5/6 and then use the division method for conversion. Let's see the step-by-step breakdown of the process:
Step 1: Simplify the fraction 45/54. Both the numerator and the denominator can be divided by 9, resulting in 5/6.
Step 2: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (6) as the divisor.
Step 3: As 5 is smaller than 6, we will take the help of decimals. We will add 0 to the dividend, making 5 as 50 and add a decimal point in the quotient place.
Step 4: Now that it is 50, we can divide it by 6. Let's see how many times 6 makes 50.
Step 5: 50 is not a multiple of 6, so we will look for the nearest number that is 6 × 8 = 48. We will write 8 in the quotient place and subtract 48 from 50 to get 2.
Step 6: Bring down another 0 in the dividend place to make it 20 and then repeat the division process. The division process continues, and we don't get the remainder as 0, which makes it a recurring decimal.
The answer for 45/54 as a decimal will be 0.8333……
Important Glossaries for 45/54 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 digit or group of digits infinitely.
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