50/60 as a Decimal

Answer

50/60 in decimals can be simplified first and then written as 0.8333... It is a recurring decimal, indicating that some digits will repeat indefinitely.

Explanation

To convert 50/60 to a decimal, we first simplify the fraction. The greatest common divisor of 50 and 60 is 10, so dividing both the numerator and the denominator by 10 gives us 5/6. Now, let's convert 5/6 to a decimal using long division.

Step 1: Identify the numerator and denominator, where the numerator (5) is the dividend and the denominator (6) is the divisor.

Step 2: Since 5 is smaller than 6, we will use the decimal method. We add a decimal point and a zero, making it 50.

Step 3: Divide 50 by 6 to see how many times 6 fits into 50.

Step 4: 50 divided by 6 is 8, remainder 2. Write 8 in the quotient and bring down another 0 to make it 20.

Step 5: Divide 20 by 6, which goes 3 times (6 × 3 = 18), remainder 2. Bring down another 0 to make it 20 again and repeat the division step. This division process continues indefinitely, indicating a recurring decimal.

The decimal representation of 50/60 (or 5/6) is approximately 0.8333...

• 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.
   
• Simplify: The process of reducing a fraction to its simplest form by dividing the numerator and the denominator by their greatest common divisor.
   
• Recurring Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.
   
• Greatest Common Divisor: The largest positive integer that divides each of the integers without a remainder.