12/14 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, 12 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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 12/14 as a decimal?

$12/14 as a decimal$

Answer

12/14 in decimals can be written as approximately 0.8571. It is a terminating decimal.

Explanation

To get 12/14 in decimal, we will use division method. Here, we divide 12 by 14 to obtain the decimal form.

Step 1: Identify the numerator and denominator because numerator (12) will be taken as dividend and denominator (14) will be taken as divisor.

Step 2: Divide 12 by 14. Since 12 is smaller than 14, the quotient begins with 0. So, we add a decimal point and bring down a zero to make it 120.

Step 3: Determine how many times 14 goes into 120. 14 goes into 120 approximately 8 times (14 × 8 = 112).

Step 4: Write 8 in the quotient place and subtract 112 from 120, giving a remainder of 8.

Step 5: Bring down another 0, making it 80. Divide 80 by 14, which goes approximately 5 times (14 × 5 = 70).

Step 6: Write 5 in the quotient place and subtract 70 from 80, leaving a remainder of 10.

Step 7: Bring down another 0, making it 100. Divide 100 by 14, which goes approximately 7 times (14 × 7 = 98).

Step 8: Write 7 in the quotient place and subtract 98 from 100, leaving a remainder of 2.

Step 9: Bring down another 0, making it 20. Divide 20 by 14, which goes approximately 1 time (14 × 1 = 14). Step 10: Write 1 in the quotient place, and continue the process if needed. However, for practical purposes, we often end at four decimal places.

The answer for 12/14 as a decimal is approximately 0.8571.