14/16 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 of the whole. It has two parts: the numerator (number on the top), here, 14, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 14/16 as a decimal?

$14/16 as a decimal$

Answer

14/16 in decimal can be written as 0.875. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 14/16 in decimal, we will use the division method.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (14) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

Step 2: Perform the division 14 ÷ 16. Since 14 is smaller than 16, we will add a decimal point and a zero to the dividend, making it 140.

Step 3: Determine how many times 16 fits into 140.

Step 4: 16 goes into 140 eight times because 16 × 8 = 128. Subtract 128 from 140 to get 12.

Step 5: Bring down another 0 to make it 120. Divide 120 by 16.

Step 6: 16 goes into 120 seven times because 16 × 7 = 112. Subtract 112 from 120 to get 8.

Step 7: Bring down another 0 to make it 80. Divide 80 by 16.

Step 8: 16 goes into 80 five times because 16 × 5 = 80, and the remainder is 0.

Thus, the answer for 14/16 as a decimal is 0.875.

Important Glossaries for 14/16 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.