4/14 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 from the whole. It has two parts, numerator (number on the top) here, 4 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 14. 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 fractional part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 4/14 as a decimal?

$4/14 as a decimal$

Answer

4/14 in decimals can be written as 0.2857. It is a terminating decimal, meaning it doesn't repeat.

Explanation

To get 4/14 in decimal, we will use the division method. Here as 4 is smaller than 14, we will take help of the decimal method which will give us 0.2857. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (14) will be taken as the divisor.

Step 2: As 4 is smaller than 14, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 4 as 40, and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 14. Let's see how many times 14 fits into 40.

Step 4: 14 goes into 40 two times, since 14 × 2 = 28. We will write 2 in the quotient place and subtract 28 from 40 to get 12.

Step 5: Bring down another 0 in the dividend place and make 12 as 120 and then repeat the division process.

Step 6: 14 goes into 120 eight times, since 14 × 8 = 112. Write 8 in the quotient place and subtract 112 from 120 to get 8.

Step 7: Bring down another 0 to make 8 as 80. 14 goes into 80 five times, since 14 × 5 = 70. Write 5 in the quotient place and subtract 70 from 80 to get 10.

Step 8: Bring down another 0 to make 10 as 100. 14 goes into 100 seven times, since 14 × 7 = 98. Write 7 in the quotient place and subtract 98 from 100 to get 2.

Step 9: Since the remainder is not zero, we could continue, but for practical purposes, 0.2857 is an accurate representation for most uses.

The answer for 4/14 as a decimal will be 0.2857.

Important Glossaries for 4/14 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.