7 7/16 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 7 in the fractional part and the whole number 7, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here it is 16. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 7 7/16 as a decimal?

$7 7/16 as a decimal$

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.

Important Glossaries for 7 7/16 as a decimal

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.