# What is 0.16 Repeating as a Fraction?

0.16 repeating as a fraction is equal to 1/6. To convert 0.16 repeating to a fraction, divide the decimal by the number after the decimal point.

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## Introduction

If you divide 16 by 99, the answer is 0.1616161616…where the 16’s go on forever. This is because 99 is not a multiple of 16–in other words, 16 does not go evenly into 99. When this happens, we say that the answer has a repeating decimal pattern.

## What is 0.16 Repeating as a Fraction?

0.16 repeating is a fraction that equals 1/6. To write this fraction as a decimal, we can use the fact that when a number repeats in a decimal expansion, we can write it as a fraction with a denominator of 10, 100, 1000, etc., depending on how many digits are repeating. In this case, since two digits are repeating (16), we can write 0.16 repeating as 1/62.

## Convert 0.16 Repeating to a Fraction

To convert 0.16 repeating to a fraction, we need to find the repeating decimal sequence in the number. In 0.16 repeating, the decimal sequence “16” is repeating. This means that the fraction we are looking for is 16/99.

## Conclusion

To sum up, 0.16 repeating can be written as a fraction as 1/6, which is equal to 1.66666666666667 when written as a decimal.