14/32 as a Decimal

Answer

14/32 in decimals can be written as 0.4375. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 14/32 into a decimal, we use the division method. Since 14 is smaller than 32, the quotient will be less than 1. Let's see the step-by-step process:

Step 1: Identify the numerator and denominator. The numerator (14) will be taken as the dividend, and the denominator (32) will be taken as the divisor.

Step 2: Divide 14 by 32. Since 14 is smaller than 32, we will use decimals. We add a decimal point in the quotient place and append zeros to the dividend.

Step 3: 140 divided by 32 gives 4 as the quotient (4 * 32 = 128). We subtract 128 from 140 to get a remainder of 12.

Step 4: Bring down another 0 to make it 120. Then, 120 divided by 32 gives 3 as the quotient (3 * 32 = 96). Subtract 96 from 120 to get a remainder of 24.

Step 5: Bring down another 0 to make it 240. Then, 240 divided by 32 gives 7 as the quotient (7 * 32 = 224). Subtract 224 from 240 to get a remainder of 16.

Step 6: Bring down another 0 to make it 160. Then, 160 divided by 32 gives 5 as the quotient (5 * 32 = 160). Subtract 160 from 160 to get a remainder of 0. The division process ends here with no remainder, making it a terminating decimal.

Thus, 14/32 as a decimal is 0.4375.

• 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.