3 3/4 as a Decimal

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This is a simple question on decimal conversion. Firstly, we must understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top) and the denominator (the number below). In this case, 3/4 indicates 3 parts out of a whole of 4 parts. A decimal is a way to represent numbers that are not whole, using 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 3 3/4 as a decimal?

$3 3/4 as a decimal$

Answer

3 3/4 in decimal form can be written as 3.75.

Explanation

To convert 3 3/4 into a decimal, we will first convert the fractional part 3/4 into a decimal and then add it to the whole number 3. Let's break down the process step by step:

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

Step 2: Convert the fraction 3/4 into a decimal. To do this, divide the numerator (3) by the denominator (4)

Step 3: Performing the division, 3 divided by 4 equals 0.75.

Step 4: Add the decimal value 0.75 to the whole number 3.

Step 5: The sum is 3 + 0.75, which equals 3.75.

The answer for 3 3/4 as a decimal is 3.75.

Important Glossaries for 3 3/4 as a decimal

Mixed Number: A number consisting of an integer and a fraction, such as 3 3/4.
Fraction: A numerical quantity representing a part of a whole, with a numerator and a denominator.
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.