# How To Convert 0.775 As A Fraction: A Step-By-Step Guide

How To Convert 0.775 As A Fraction? Converting decimals to fractions is a fundamental math skill that is important in many fields, including science, engineering, and finance. In this blog post, we will explore how to convert 0.775 to a fraction, simplify it, and answer some common questions related to this topic.

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## Understanding Decimal Numbers

Before we dive into how to convert 0.775 to a fraction, let’s briefly review what decimal numbers are. Decimal numbers are a way of representing fractions using a base-ten system. Each digit in a decimal number has a place value that determines its contribution to the overall value of the number. In the decimal number 0.775, the digit 7 represents the tenths, the digit 7 represents the hundredths, and the digit 5 represents the thousandths.

## Converting 0.775 To A Fraction

To convert 0.775 to a fraction, we can start by writing it as a fraction with 1 as the denominator and the number of digits after the decimal point as the numerator:

0.775 = 775/1000

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 25:

775 ÷ 25 = 31

1000 ÷ 25 = 40

So, 0.775 as a fraction in its simplest form is 31/40.

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## FAQ

### Is 0.775 Equal To 31 40?

The fraction 31/40 as a decimal is equal to 0.775.

### How Do You Write 0.777 As A Fraction Answer?

So this something, which is actually our repeating decimal 0.777…, is just equal to 7/9.

### What Is 5 7 8 As Decimal?

5.88

5 7/8 as a decimal is 5.88

When you convert 5 7/8 (or 47/8) to a decimal, 5.88 is your answer.

### What Is 1 7 40 As A Decimal?

1 7/40 as a decimal is 1.18.

## Conclusion:

Converting decimal numbers to fractions is an essential math skill that can be useful in various fields. In this post, we’ve explored how to convert 0.775 to a fraction, simplify it, and even express it as a mixed number. By following these simple steps, you can now convert 0.775 to a fraction in its simplest form and even express it as a mixed number or a percent.

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