0.4666666667 as a Fraction

Answer

The answer for 0.4666666667 as a fraction is 7/15.

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, any decimal number should be converted to a fraction for easy calculation. Here, 0.4666666667 is the number on the numerator, and the base number 1 will be the denominator. Then, 0.4666666667 becomes 0.4666666667/1.

Step 2: To remove the repeating decimal from a fraction, recognize that 0.4666666667 is the same as 0.4666... (where 6 repeats). This can be expressed as a fraction using the formula for repeating decimals: x = 0.4666..., then 10x = 4.666... Subtracting these gives 9x = 4.2, so x = 4.2/9.

Step 3: Simplify 4.2/9 by multiplying both the numerator and denominator by 10 to eliminate the decimal, resulting in 42/90.

Step 4: Here, 6 is the GCD of 42 and 90. Now, to make the fraction simpler, divide the numerator and denominator by 6. 42/90 = 7/15 Hence, 0.4666666667 is in the form of the fraction 7/15.

Thus, 0.4666666667 can be written as a fraction 7/15.

• 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 a digit or group of digits repeats 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.