16.666 as a Fraction

Answer

The answer for 16.666 as a fraction will be 50/3.

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, any decimal number should be converted to a fraction for easy calculation. Here, 16.666 is the number on the numerator and the base number 1 will be the denominator. Then, 16.666 becomes 16.666/1.

Step 2: To remove the repeating decimal, first express it as a fraction by setting x = 16.666. Then, multiply both sides by 10 to shift the decimal point: 10x = 166.66.

Step 3: Subtract the original equation from this new equation: 10x = 166.66 x = 16.666 9x = 150 Step 4: Simplify to find x: x = 150/9, which reduces to 50/3.

Thus, 16.666 can be written as a fraction 50/3.

• 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 that has one or more repeating digits after the decimal point.

• 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.