5.83333333333 as a Fraction

Answer:

The answer for 5.83333333333 as a fraction will be 35/6.

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, separate the whole number from the decimal part. Here, 5 is the whole number, and 0.83333333333 is the repeating decimal part.

Step 2: Convert the repeating decimal 0.83333333333... to a fraction.

Let x = 0.83333333333...

Multiply both sides by 10 to shift the decimal point:

10x = 8.3333333333...

Subtract the original x from this equation: 10x - x = 8.3333333333... - 0.83333333333...

9x = 7.5

Solve for x:

x = 7.5/9

Simplify the fraction by multiplying the numerator and denominator by 10 to eliminate the decimal:

x = 75/90

Simplify further by finding the GCD of 75 and 90, which is 15: 75/90 = 5/6

Step 3: Add the whole number part back to the fraction: 5 + 5/6 = (30/6) + (5/6) = 35/6

Thus, 5.83333333333 can be written as a fraction 35/6.

• 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 in which a pattern of one or more digits repeats infinitely.