3 3/16 as a Decimal

Answer

3 3/16 in decimals can be written as 3.1875. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 3 3/16 in decimal, we will use division for the fractional part.

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

Step 1: Identify the whole number, numerator, and denominator. The whole number is 3, the numerator (3) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

Step 2: Divide 3 by 16. Since 3 is smaller than 16, we add a decimal point and a zero to the dividend, making it 30.

Step 3: Divide 30 by 16, which goes 1 time (1 × 16 = 16). Subtracting 16 from 30 gives 14.

Step 4: Bring down another 0 to make it 140. Divide 140 by 16, which goes 8 times (8 × 16 = 128). Subtracting 128 from 140 gives 12.

Step 5: Bring down another 0 to make it 120. Divide 120 by 16, which goes 7 times (7 × 16 = 112). Subtracting 112 from 120 gives 8.

Step 6: Bring down another 0 to make it 80. Divide 80 by 16, which goes 5 times (5 × 16 = 80). Subtracting 80 from 80 gives 0, and the division ends here.

The answer for the fractional part is 0.1875, so the decimal representation of 3 3/16 is 3.1875.

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

• 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.