21/28 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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, numerator (number on the top) here, 21 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 28. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 21/28 as a decimal?

$21/28 as a decimal$

Answer

21/28 in decimals can be written as approximately 0.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 21/28 to a decimal, we will use the division method. Here, since 21 is smaller than 28, we will perform the division directly, which will give us an approximate value of 0.75. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (21) will be taken as the dividend and the denominator (28) will be taken as the divisor.

Step 2: Perform the division of 21 by 28. Since 21 is smaller than 28, the division will result in a value less than 1.

Step 3: Use long division to determine how many times 28 fits into 210 (by multiplying 21 by 10 to facilitate division).

Step 4: Calculate 28 × 7 = 196, which is the closest multiple of 28 to 210 without exceeding it.

Step 5: Subtract 196 from 210 to get 14, then bring down another 0 to make it 140, and repeat the division process.

Step 6: Continue the division process until the remainder is 0, confirming that 21/28 is a terminating decimal.

The answer for 21/28 as a decimal will be approximately 0.75.

Important Glossaries for 21/28 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.