6.22222222222 as a Fraction

Answer

The answer for 6.22222222222 as a fraction will be 28/4.5.

Explanation

Converting a repeating decimal to a fraction involves a few steps that can be easily followed. Here is how you can do it:

Step 1: Let x = 6.22222222222...

Step 2: Identify the repeating part of the decimal. Here, the repeating part is 2. Multiply x by 10 to shift the decimal point to the right: 10x = 62.22222222222...

Step 3: Subtract the original equation (x) from this new equation (10x) to eliminate the repeating decimal: 10x - x = 62.22222222222... - 6.22222222222... 9x = 56

Step 4: Solve for x: x = 56/9 Step 5: The integer part of the original number was 6, so the fraction is 6 + 56/9 = 28/4.5.

Thus, 6.22222222222 can be expressed as the fraction 28/4.5.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Repeating Decimal: A decimal that has repeating numbers or sequences of numbers 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.

• Mixed Number: A whole number combined with a fraction, such as 6 2/9 in this example.