# Understanding 1.6666 As A Fraction: A Comprehensive Guide Written By Berry Mathew

Are you struggling to figure out what 1.6666 as a fraction is? In this blog post, we’ll explore the process of converting decimals to fractions and simplifying them.

Contents

## What Is 1.6666 As A Decimal?

Decimal is a system of writing numbers where the position of the digits to the right of the decimal point represents a part of a whole number. In this case, 1.6666 is a decimal that represents one and six thousand six hundred sixty-six ten-thousandths or 1 6666/10000.

## How To Convert Decimal To Fraction?

Converting decimals to fractions is an essential skill in mathematics. To convert 1.6666 to a fraction, follow these steps:

Write the decimal as a fraction with the denominator as 1 followed by as many zeroes as the number of digits after the decimal point. In this case, the denominator is 10,000.

Simplify the fraction by dividing both the numerator and denominator by their greatest common factor. In this case, the greatest common factor is 1666, so we can simplify the fraction by dividing both the numerator and denominator by 1666. This gives us 5/3.

## What Is The Simplified Form Of 1.6666 As A Fraction?

Simplifying a fraction means reducing it to its lowest terms. In this case, 5 and 3 don’t have any common factors other than 1, which means that 5/3 is already in its simplest form.

## Why Is Simplifying A Fraction Important?

Simplifying a fraction helps to make it easier to work with in mathematical operations such as addition, subtraction, multiplication, and division. It also helps to identify equivalent fractions and reduces the chances of errors in calculations.

## Conclusion

In conclusion, 1.6666 as a fraction is 5/3 in its simplest form. Knowing how to convert decimals to fractions and simplify them is a crucial skill in mathematics that can be applied in various fields such as science, engineering, and finance. By following the steps outlined in this blog post, you can easily convert any decimal to a fraction and simplify it to its lowest terms.

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## FAQ

### What Is 1.6 Repeating As A Fraction?

When we multiply a number on one side, we have to multiply it on the other side also. Let us subtract (i) from (ii). Let us take 9 from LHS to RHS to find the value of x. Hence, the fraction of repeating 1.6 is \$\dfrac{5}{3}\$.

### What Is 1.666 As A Simplified Fraction?

1.666 as a fraction is 833/500.

### What Is 1.66 As A Fraction?

1.66 as a fraction is 83/50.

### Can 0.16666 Repeating Be Written As A Fraction?

We know that the given decimal number to be converted into its fraction is 0.166, where 6 is repeated, so we can write it as 0.16666…. Therefore, the fractional form of the decimal 0.166 (6 being repeated) is \[\dfrac{1}{6}\].

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