What Fraction is Equivalent to the Decimal 1.6667?

The decimal 1.6667 is equivalent to the fraction 5/3.

Here’s how you can convert 1.6667 to a fraction:

1. Recognize that 1.6667 is a repeating decimal, which can be written as 1.6666…
2. Let x = 1.6666…
3. Multiply both sides by 10: 10x = 16.6666…
4. Subtract the original equation from this new equation: 10x – x = 16.6666… – 1.6666…
5. This simplifies to 9x = 15
6. Divide both sides by 9: x = 15/9
7. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 3: 15 ÷ 3 = 5 and 9 ÷ 3 = 3
8. So, x = 5/3

Therefore, the fraction equivalent to the decimal 1.6667 is 5/3.