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101 LearnersLast updated on March 17th, 2025
10 4/5 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, 4 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. A decimal is a way to represent the 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 that to the right represents the fractional part.
What is 10 4/5 as a decimal?
Answer
10 4/5 in decimals can be written as 10.8. It is a terminating decimal, meaning it does not repeat and ends after one decimal place.
Explanation
To get 10 4/5 in decimal, we will use division method for the fractional part. The whole number 10 remains unchanged, and we convert 4/5 into a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator of the fractional part because the numerator (4) will be taken as dividend and the denominator (5) will be taken as divisor.
Step 2: Divide 4 by 5. Since 4 is smaller than 5, we add a decimal point and a zero to make it 40.
Step 3: Divide 40 by 5, which equals 8.
Step 4: The decimal form of 4/5 is 0.8.
Step 5: Combine the whole number part and the decimal part to get the final answer: 10 + 0.8 = 10.8.
Important Glossaries for 10 4/5 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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