1 9/16 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 1 9/16 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. 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.

1 9/16 as a Decimal for US Students

What is 1 9/16 as a decimal?

$1 9/16 as a decimal$

Answer

1 9/16 in decimals can be written as 1.5625. It is a terminating decimal, indicating it ends after a certain number of decimal places.

Explanation

To convert 1 9/16 to a decimal, we will use the division method for the fractional part and then add it to the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fractional part. Here, 1 is the whole number, and 9/16 is the fractional part.

Step 2: Divide the numerator (9) by the denominator (16) to convert the fraction to a decimal.

Step 3: 9 divided by 16 equals 0.5625.

Step 4: Add the decimal form of the fraction (0.5625) to the whole number (1). The final result is 1.5625.

Thus, the decimal representation of 1 9/16 is 1.5625.

Important Glossaries for 1 9/16 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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