10/14 as a Decimal

Answer

10/14 in decimals can be simplified first to 5/7 and then written as approximately 0.71428571. It is a non-terminating, repeating decimal.

Explanation

To get 10/14 in decimal, we will simplify the fraction first, and then use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 10/14 to 5/7 by dividing both the numerator and the denominator by 2.

Step 2: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (7) will be taken as the divisor.

Step 3: As 5 is smaller than 7, it can't be divided directly; 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 4: Now that it is 50, we can divide it by 7. Let's see how many times 7 fits into 50.

Step 5: 50 is not a multiple of 7, so we will look for the nearest number that is 7 × 7 = 49. We will write 7 in the quotient place and subtract 49 from 50, giving 1.

Step 6: Bring down another 0 in the dividend place, making it 10, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a repeating decimal.

The answer for 10/14 as a decimal will be approximately 0.71428571.

• 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.

• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.