1.83333 as a Fraction

Answer

The answer for 1.83333 as a fraction will be 11/6.

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, any decimal number should be converted to fraction for easy calculation. Here, 1.83333 is the number on the numerator and the base number 1 will be the denominator. Then, 1.83333 becomes 1.83333/1.

Step 2: Since 1.83333 is a repeating decimal, let's express it as a fraction. Let x = 1.83333... As the repeating part is 83333 (5 digits), multiply both sides by 10,000 to shift the decimal point: 10,000x = 18,333.3...

Step 3: Subtract the original equation from the multiplied equation to eliminate the repeating part: 10,000x - x = 18,333.3... - 1.83333... 9,999x = 18,331.5

Step 4: Solve for x by dividing both sides by 9,999: x = 18,331.5 / 9,999

Step 5: Simplify the fraction by multiplying the numerator and the denominator by 2 to eliminate the decimal: x = 36,663 / 19,998

Step 6: Simplify the fraction further by finding the GCD of 36,663 and 19,998, which is 3: x = 12,221 / 6,666

Step 7: Simplify the fraction again by finding the GCD of 12,221 and 6,666, which is 1: x = 11/6

Thus, 1.83333 can be written as a fraction 11/6.

• 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.

• Repeating Decimal: A decimal in which a pattern of one or more 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.