1 5/16 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top), here 5 represents how many parts out of the whole, and the denominator (number below) shows how many parts make the whole, here it is 16. A mixed number such as 1 5/16 combines a whole number and a fraction. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 1 5/16 as a decimal?

$1 5/16 as a decimal$

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.

Important Glossaries for 1 5/16 as a decimal

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.