16 divided by 21

2025

2 min read 30-03-2025

Dividing 16 by 21 might seem straightforward, but the result isn't a whole number. This article will guide you through the process of calculating 16 divided by 21 and understanding the resulting decimal. We'll explore different methods and explain the concept clearly.

Understanding the Problem: 16 ÷ 21

The question "What is 16 divided by 21?" asks us to find out how many times 21 fits into 16. Since 21 is larger than 16, the answer will be a decimal number less than 1. This means 16 is a fraction of 21.

Method 1: Long Division

The most common method for solving this is long division. Here's how it works:

Set up the division: Write 16 inside the long division symbol (÷) and 21 outside.
Add a decimal point and zeros: Since 21 doesn't go into 16, add a decimal point after the 16 and as many zeros as needed.
Perform the division: Divide 21 into 160. It goes in 7 times (7 x 21 = 147). Subtract 147 from 160, leaving 13.
Bring down the next zero: Bring down another zero, making it 130. 21 goes into 130 six times (6 x 21 = 126). Subtract 126 from 130, leaving 4.
Continue the process: Continue this process of adding zeros and dividing until you reach a desired level of accuracy or a repeating pattern emerges. You'll find the decimal continues to repeat with the digits "761904".

Therefore, 16 divided by 21 is approximately 0.76190476... The digits "761904" repeat infinitely.

Method 2: Using a Calculator

The easiest way to find the answer is using a calculator. Simply enter "16 ÷ 21" and press the equals button. The calculator will give you the decimal approximation. Keep in mind that the calculator may round the answer depending on its display limitations.

Representing the Result as a Fraction

The result can also be expressed as a fraction: 16/21. This fraction is already in its simplest form because 16 and 21 share no common factors other than 1.

Understanding Repeating Decimals

The result of 16 ÷ 21 is a repeating decimal. This means the decimal digits repeat infinitely. Many fractions result in repeating decimals when converted to their decimal equivalents.

Practical Applications

Understanding decimal division has applications in various fields, including:

Measurement and scaling: Dividing quantities to determine proportions or ratios.
Finance: Calculating percentages, interest rates, or portions of amounts.
Science: Many scientific calculations involve dividing numbers and interpreting decimal results.

Conclusion: Mastering 16 Divided by 21

We've explored different approaches to solving 16 divided by 21, from long division to using a calculator. Understanding both the decimal approximation (approximately 0.7619) and the fractional representation (16/21) provides a comprehensive understanding of this division problem. Remember that the decimal representation is a non-terminating, repeating decimal. This knowledge is valuable in various mathematical and real-world applications.