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109 LearnersLast updated on March 11th, 2025
77 3/4 as a Decimal
It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top) here, 3, which represents how many parts out of the whole, and the denominator (the number below), here it is 4, which shows how many parts make the whole. 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 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 77 3/4 as a decimal?
Answer:
77 3/4 in decimals can be written as 77.75. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation:
To convert 77 3/4 into a decimal, we start by converting the fraction 3/4 to a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 3 by 4. Since 3 is smaller than 4, we use the decimal method, which will give us 0.75.
Step 3: The fraction 3/4 as a decimal is 0.75.
Step 4: Combine this with the whole number 77 to get 77.75.
Important Glossaries for 77 3/4 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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