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103 LearnersLast updated on March 11th, 2025
7 3/4 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: the numerator (number on the top), here 3, which represents how many parts out of the whole, and the denominator (number below), here 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 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 7 3/4 as a decimal?
Answer
7 3/4 in decimals can be written as 7.75. It is a terminating decimal, indicating it does not repeat infinitely.
Explanation
To convert 7 3/4 to decimal, we will first convert the fractional part 3/4 to a decimal and then add the whole number part.
Step 1: Identify the whole number and the fraction. The whole number is 7, and the fraction is 3/4.
Step 2: Convert the fraction 3/4 into a decimal by dividing the numerator by the denominator.
Step 3: Divide 3 by 4, which equals 0.75.
Step 4: Combine the whole number with the decimal obtained from the fraction.
Step 5: Therefore, 7 3/4 as a decimal is 7.75.
Important Glossaries for 7 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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