7 7/16 as a Decimal

Answer

7 7/16 in decimals can be written as 7.4375. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To convert 7 7/16 into a decimal, we will first convert the fractional part (7/16) into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: Perform the division of 7 by 16. Start by noting that 7 is smaller than 16, so we need to introduce a decimal point in the quotient and add zeros to 7 to make it divisible.

Step 3: As 7.0 divided by 16 is 0.4375, write this in the decimal place.

Step 4: Add the whole number from the original mixed number, which is 7, to the decimal obtained from the fraction.

Thus, 7 7/16 as a decimal is 7 + 0.4375 = 7.4375.

• 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.