1 13/16 as a Decimal

Answer

1 13/16 in decimals can be written as 1.8125. It is a terminating decimal, showing it will not repeat any digit infinitely.

Explanation

To convert 1 13/16 into a decimal, we will first convert the fractional part separately and then add the whole number.

Step 1: Identify the whole number, numerator, and denominator. Here, the whole number is 1, the numerator is 13, and the denominator is 16.

Step 2: Divide the numerator by the denominator to convert the fraction into a decimal. Divide 13 by 16.

Step 3: Since 13 is less than 16, we add a decimal point and zero to make it 130. Divide 130 by 16.

Step 4: 16 goes into 130 eight times (16 × 8 = 128), and the remainder is 2.

Step 5: Bring down another 0 to make it 20. Divide 20 by 16, which goes once (16 × 1 = 16), and the remainder is 4.

Step 6: Bring down another 0 to make it 40. Divide 40 by 16, which goes twice (16 × 2 = 32), and the remainder is 8.

Step 7: Bring down another 0 to make it 80. Divide 80 by 16, which goes five times (16 × 5 = 80), and the remainder is 0. The decimal part of 13/16 is 0.8125.

Add this to the whole number 1 to get 1.8125.

• Mixed Number: A whole number combined with a fraction, such as 1 13/16.
   
• Fraction: A numerical quantity representing a part of a whole.
   
• Decimal: A number that 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.