4/51 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: the numerator (number on the top), here 4, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 51. 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 4/51 as a decimal?

$4/51 as a decimal$

Answer

4/51 in decimals can be written as approximately 0.07843. This is a terminating decimal.

Explanation

To get 4/51 in decimal, we will use the division method. Since 4 is smaller than 51, we will use the decimal method to find the decimal equivalent of the fraction. 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 (51) will be taken as the divisor.

Step 2: As 4 is smaller than 51, it can't be divided directly, so we will use decimals. We will add a decimal point in the quotient and add a 0 to the dividend, making it 40.

Step 3: Now, divide 40 by 51. Since 40 is still smaller than 51, we add another 0 to the dividend, making it 400.

Step 4: Divide 400 by 51. 51 goes into 400 approximately 7 times (51 × 7 = 357). Write 7 in the quotient and subtract 357 from 400, giving a remainder of 43.

Step 5: Bring down another 0, making it 430. Divide 430 by 51. 51 goes into 430 approximately 8 times (51 × 8 = 408). Write 8 in the quotient and subtract 408 from 430, giving a remainder of 22.

Step 6: Bring down another 0, making it 220. Divide 220 by 51. 51 goes into 220 approximately 4 times (51 × 4 = 204). Write 4 in the quotient and subtract 204 from 220, giving a remainder of 16.

Step 7: Bring down another 0, making it 160. Divide 160 by 51. 51 goes into 160 approximately 3 times (51 × 3 = 153). Write 3 in the quotient and subtract 153 from 160, giving a remainder of 7. The division process continues until the desired precision is reached or the remainder becomes zero.

The answer for 4/51 as a decimal is approximately 0.07843.

Important Glossaries for 4/51 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.