Table Of Contents
125 LearnersLast updated on March 10th, 2025
1.06666 as a Fraction
Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 1.06666, we are going to learn how to convert a decimal to a fraction.
What is 1.06666 as a Fraction?
Answer:
The answer for 1.06666 as a fraction is 16/15.
Explanation:
Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, express the decimal number as a fraction. Here, 1.06666 is the number with repeating decimals. We express it as a fraction: 1.06666 = 1 + 0.06666.
Step 2: To convert the repeating decimal part 0.06666 to a fraction, let x = 0.06666. Then, 100x = 6.6666.
Step 3: Subtract the first equation from the second equation: 100x - x = 6.6666 - 0.06666. This gives 99x = 6.6.
Step 4: Solve for x: x = 6.6/99 = 2/30 = 1/15 after simplifying.
Step 5: Add the whole number part: 1 + 1/15 = 16/15.
Thus, 1.06666 can be written as a fraction 16/15.
Important Glossaries for 1.06666 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Repeating Decimal: A decimal in which one or more digits repeat infinitely.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Explore More math-questions
Previous to 1.06666 as a Fraction
