14 3/8 as a Decimal

Answer:

14 3/8 in decimals can be written as 14.375. It is a terminating decimal, showing it ends after a finite number of digits.

Explanation:

To get 14 3/8 in decimal, we will first convert the fraction 3/8 to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 3 by 8. Since 3 is smaller than 8, we can add a decimal point and bring down a zero, making it 30.

Step 3: Divide 30 by 8. 8 goes into 30 three times (3 x 8 = 24), leaving a remainder of 6.

Step 4: Bring down another 0, making it 60, and divide by 8 again. 8 goes into 60 seven times (7 x 8 = 56), leaving a remainder of 4.

Step 5: Bring down another 0, making it 40, and divide by 8. 8 goes into 40 five times (5 x 8 = 40), leaving no remainder. So, 3/8 as a decimal is 0.375. Adding this to the whole number 14 gives us 14.375.

• 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.