4 2/15 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn about mixed numbers, fractions, and decimals. A mixed number represents a whole number and a fraction. The fraction has two parts: the numerator (number on the top), here 2, which represents how many parts out of the whole, and the denominator (number below), here it is 15, which shows how many parts make the whole. 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 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 4 2/15 as a decimal?

$4 2/15 as a decimal$

Answer

4 2/15 in decimals can be written as 4.1333… It is a recurring decimal, indicating that it will repeat some digits infinitely.

Explanation

To convert 4 2/15 into a decimal, we first convert the fraction 2/15 into a decimal and then combine it with the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fraction part (2/15) of the mixed number.

Step 2: Divide the numerator (2) by the denominator (15) using the division method.

Step 3: 2 is smaller than 15, so we will add a decimal point in the quotient and a 0 to the 2, making it 20.

Step 4: 15 goes into 20 once. So, 1 is placed in the quotient, and we subtract 15 from 20, which gives us 5.

Step 5: Bring down another 0 to make it 50.

Step 6: 15 goes into 50 three times (3 times 15 is 45). We place 3 in the quotient, subtract 45 from 50, leaving 5.

Step 7: Repeat the process; bring down another 0 to make it 50 again, which results in 3 being repeated infinitely. Thus, the decimal for 2/15 is 0.1333...

Step 8: Add the decimal 0.1333... to the whole number 4, resulting in 4.1333...

Therefore, 4 2/15 as a decimal is 4.1333...