5/16 as a Decimal

Answer

5/16 in decimals can be written as 0.3125. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To get 5/16 in decimal form, we will use the division method. Here, as 5 is smaller than 16, we will take the help of the decimal method, which will give us 0.3125. 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 (16) will be taken as the divisor.

Step 2: As 5 is smaller than 16, it can't be divided without using decimals. We will add 0 to the dividend, making it 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 16. Let's see how many times 16 fits into 50.

Step 4: 16 goes into 50, 3 times because 16 × 3 = 48. We will write 3 in the quotient place and subtract 48 from 50, giving us 2.

Step 5: Bring down another 0 in the dividend place, making it 20, and then repeat the division process.

Step 6: 16 goes into 20, 1 time because 16 × 1 = 16. We write 1 in the quotient place and subtract 16 from 20, giving us 4.

Step 7: Bring down another 0, making it 40, and repeat the division process.

Step 8: 16 goes into 40, 2 times because 16 × 2 = 32. We write 2 in the quotient place and subtract 32 from 40, giving us 8.

Step 9: Bring down another 0, making it 80, and repeat the division process.

Step 10: 16 goes into 80, 5 times because 16 × 5 = 80. We write 5 in the quotient place and subtract 80 from 80, giving us 0. The division process ends here, and we have a terminating decimal.

The answer for 5/16 as a decimal is 0.3125.

• 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.