10 3/4 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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, which represents how many parts out of the whole, and denominator (number below) shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using 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 10 3/4 as a decimal?

$10 3/4 as a decimal$

Answer

10 3/4 in decimals can be written as 10.75. It is a terminating decimal, indicating that it ends after two decimal places.

Explanation

To convert 10 3/4 to a decimal, we will first convert the fractional part 3/4 into a decimal and then add it to the whole number 10.

Step 1: Identify the whole number and the fraction. Here, the whole number is 10, and the fraction is 3/4.

Step 2: Convert the fraction 3/4 into a decimal. Divide the numerator by the denominator: 3 ÷ 4 = 0.75.

Step 3: Combine the whole number with the decimal equivalent of the fraction: 10 + 0.75 = 10.75.

Thus, the decimal representation of 10 3/4 is 10.75.

Important Glossaries for 10 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.