5/14 as a Decimal

Answer

5/14 in decimals can be written as approximately 0.3571. It is a terminating decimal.

Explanation

To get 5/14 in decimal, we will use the division method. Here 5 is smaller than 14, so we will take the help of the decimal method, which will give us approximately 0.3571.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (14) will be taken as the divisor.

Step 2: As 5 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 5 as 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 14. Let's see how many times 14 fits into 50.

Step 4: 50 is not a multiple of 14, so we will look for the nearest number that is 14 × 3 = 42. We will write 3 in the quotient place and subtract 42 from 50, which gives 8.

Step 5: Bring down another 0 in the dividend place, making 80, and then repeat the division process.

Step 6: 14 fits into 80 approximately 5 times, as 14 × 5 = 70. We place 5 in the quotient and subtract 70 from 80, resulting in 10.

Step 7: Bring down another 0, making it 100, and divide again. 14 fits approximately 7 times, as 14 × 7 = 98. The division process continues until a remainder of 0 is reached, resulting in a terminating decimal.

The answer for 5/14 as a decimal will be approximately 0.3571.

• 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.