49/60 as a Decimal

Answer

49/60 as a decimal is approximately 0.81666... It is a non-terminating, recurring decimal, where the digit 6 repeats infinitely.

Explanation

To convert 49/60 into a decimal, we use division. Since 49 is smaller than 60, we'll need to use the decimal method to find the answer:

Step 1: Identify the numerator and denominator. The numerator (49) will be the dividend, and the denominator (60) will be the divisor.

Step 2: 49 is smaller than 60, so we can't divide directly. We'll introduce a decimal point and add zero to the dividend, making it 490.

Step 3: Divide 490 by 60. Determine how many times 60 fits into 490.

Step 4: 60 goes into 490 approximately 8 times since 60 x 8 = 480. Write 8 in the quotient and subtract 480 from 490, leaving a remainder of 10.

Step 5: Bring down another 0, making it 100. Divide 100 by 60, which goes once, leaving a remainder of 40.

Step 6: Bring down another 0, making it 400. Divide 400 by 60, which goes 6 times, leaving a remainder of 40. This process repeats, showing that 6 is a recurring digit.

Thus, 49/60 as a decimal is approximately 0.81666...

• Fraction: A part of a whole, represented by a numerator and a denominator.
   
• Decimal: A number system based on ten, using a decimal point to separate the whole number from the fractional part.
   
• Numerator: The top number of a fraction, indicating the number of parts being considered.
   
• Denominator: The bottom number of a fraction, signifying the total number of equal parts in the whole.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.