1 5/16 as a Decimal

Answer

1 5/16 in decimals can be written as 1.3125. It is a terminating decimal, showing it ends without repeating.

Explanation

To get 1 5/16 in decimal, we will first convert the fractional part into decimal form. Let's see the step-by-step breakdown of the process:

Step 1: Convert the fraction 5/16 into a decimal by division.

Step 2: As 5 is smaller than 16, we will add a decimal point and zeros to 5 to perform the division.

Step 3: Divide 50 by 16, which gives 3, since 16 × 3 = 48. Subtract 48 from 50 to get 2.

Step 4: Bring down another 0, making it 20. Divide 20 by 16, which gives 1, since 16 × 1 = 16. Subtract 16 from 20 to get 4.

Step 5: Bring down another 0, making it 40. Divide 40 by 16, which gives 2, since 16 × 2 = 32. Subtract 32 from 40 to get 8.

Step 6: Bring down another 0, making it 80. Divide 80 by 16, which gives 5, since 16 × 5 = 80. Subtract 80 from 80 to get 0. The decimal form of 5/16 is 0.3125. Adding this to the whole number 1 gives 1.3125.

Thus, 1 5/16 as a decimal is 1.3125.

• 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.
   
• 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.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.