5 11/16 as a Decimal

Answer

5 11/16 in decimals can be written as 5.6875, which is a terminating decimal.

Explanation

To convert 5 11/16 to a decimal, we start by converting just the fractional part (11/16) to a decimal. We use division to achieve this. Let's break down the steps:

Step 1: Identify the numerator and denominator. Here, the numerator (11) is the dividend, and the denominator (16) is the divisor.

Step 2: Divide 11 by 16. Since 11 is smaller than 16, we will use the decimal method to proceed.

Step 3: Add a decimal point and a zero to 11, making it 110, and continue the division.

Step 4: 16 goes into 110 six times (16 × 6 = 96), so we write 6 in the quotient and subtract 96 from 110, leaving a remainder of 14.

Step 5: Bring down another 0, making it 140. 16 goes into 140 eight times (16 × 8 = 128). Write 8 in the quotient and subtract 128 from 140, leaving 12.

Step 6: Bring down another 0, making it 120. 16 goes into 120 seven times (16 × 7 = 112). Write 7 in the quotient and subtract 112 from 120, leaving 8.

Step 7: Bring down another 0, making it 80. 16 goes into 80 five times (16 × 5 = 80), and the remainder is 0, ending the division process. Combine this with the whole number 5 to get 5.6875.

Therefore, the answer for 5 11/16 as a decimal is 5.6875.

• Fraction: A numerical quantity representing a part of a whole, expressed as 'numerator/denominator'.
   
• Decimal: A number using the base ten and 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 considered.
   
• Denominator: The bottom part of a fraction, showing how many equal parts make up a whole.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely, having a finite number of digits after the decimal point.