# What is the Decimal Expansion of 16/9 - Comprehensive Guide

Welcome, developers! We have all been in the situation of having to use fractions and decimals, but not knowing how to make sense of them. In this guide, you will understand the decimal expansion of 16/9. We will provide you with step-by-step instructions and valuable resources that will help you make sense of this concept. Let's get started!

## What is the decimal expansion of 16/9?

The decimal expansion of 16/9 is `1.7777777777…`. This means that when 16/9 is divided by 10, the remainder will always be 7.

## What is the general formula for finding the decimal expansion of any whole number?

The general formula for finding the decimal expansion of any whole number is to use long division (e.g. 16/9 is 1 remainder 7). To calculate the decimal expansion, continuously divide the remainder by 10 until the remainder is 0, then write the results along the decimal line.

## What are the steps for finding the decimal expansion of 16/9?

1. Find the quotient of 16 divided by 9.
2. Find the remainder.
3. Divide the remainder into 10 and find the quotient.
4. If the remainder is not 0, repeat step 3.
5. Write the decimal expansion from step 3 onwards.

## What other resources are available for finding decimal expansions?

There are several online tools and calculators that can help you find the decimal expansion of any fraction, including 16/9. Here are some helpful resources.

## FAQ

### What is the decimal expansion of 16/9?

The decimal expansion of 16/9 is `1.7777777777…`.

### What is the general formula for finding the decimal expansion of any whole number?

To calculate the decimal expansion of any whole number, use long division (e.g. 16/9 is 1 remainder 7). To calculate the decimal expansion, continuously divide the remainder by 10 until the remainder is 0, then write the results along the decimal line.

### How can I calculate the decimal expansion of a number?

You can calculate the decimal expansion of a number by using long division (e.g. 16/9 is 1 remainder 7). To calculate the decimal expansion, continuously divide the remainder by 10 until the remainder is 0, then write the results along the decimal line.

### What are some tools I can use to find the decimal expansion of a fraction?

There are several online tools and calculators available that can help you find the decimal expansion of any fraction, including 16/9. Here are some helpful resources:

### What is the difference between a decimal and a fraction?

A decimal is a number with a decimal point (e.g. 3.2) while a fraction is a number with a numerator and a denominator (e.g. 3/2). Decimals and fractions are related, however, as any fraction can be represented as a decimal and vice versa.

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