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...

• Mixed Number: A number consisting of an integer and a fraction.

• Fraction: A numerical quantity that represents 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.

• Recurring Decimal: A decimal that repeats the same sequence of digits infinitely.