13 3/4 as a Decimal

Professor Greenline Explaining Math Concepts

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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 (the number on the top) and denominator (the number below). A mixed number like 13 3/4 combines a whole number and a fraction. A decimal is a way to represent a number that is 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 13 3/4 as a decimal?

$13 3/4 as a decimal$

Answer

13 3/4 in decimals can be written as 13.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 13 3/4 to a decimal, we will first convert the fraction part (3/4) to a decimal and then add it to the whole number (13).

Step 1: Identify the whole number and the fraction. The whole number is 13, and the fraction is 3/4.

Step 2: Convert the fraction 3/4 to a decimal.

Step 3: Divide the numerator (3) by the denominator (4) to get 0.75.

Step 4: Add the decimal equivalent of the fraction (0.75) to the whole number (13).

Step 5: The result is 13.75.

The answer for 13 3/4 as a decimal is 13.75.

Important Glossaries for 13 3/4 as a decimal

Mixed Number: A number consisting of an integer and a proper fraction.
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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.