0.46666666666 as a Fraction

Answer

The answer for 0.46666666666 as a fraction will be 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 expressed as a fraction for easy calculation. Here, 0.46666666666 can be seen as 0.4666... (with 6 repeating), which is represented as 0.46(6). We start with x = 0.46(6).

Step 2: To eliminate the repeating part, multiply by 10 to shift the decimal point one place to the right: 10x = 4.66(6).

Step 3: Multiply by 10 again to shift another decimal place for the repeating section: 100x = 46.66(6).

Step 4: Subtract the equation from Step 2 from the equation in Step 3: 100x - 10x = 46.66(6) - 4.66(6), 90x = 42.

Step 5: Solve for x by dividing both sides by 90: x = 42/90.

Step 6: Simplify the fraction by finding the GCD of 42 and 90, which is 6. Divide both the numerator and denominator by 6: 42/90 = 7/15.

Thus, 0.46666666666 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.

• 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.

• Repeating Decimal: A decimal that has one or more repeating numbers or sequence of numbers infinitely.