8 7/16 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

This is a basic question on decimal conversion. To start, we need to understand mixed numbers and decimals. A mixed number consists of a whole number and a fraction. The fraction has a numerator (the number on top) and a denominator (the number below). A decimal is a way to represent a number that is not whole, using a decimal point (.) 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 8 7/16 as a decimal?

$8 7/16 as a decimal$

Answer

8 7/16 as a decimal can be written as 8.4375.

Explanation

To convert 8 7/16 into a decimal, we need to convert the fractional part (7/16) into a decimal and then add it to the whole number (8).

Step 1: Identify the whole number (8) and the fraction (7/16).

Step 2: Convert the fraction 7/16 into a decimal by dividing the numerator (7) by the denominator (16).

Step 3: Perform the division: 7 ÷ 16 = 0.4375.

Step 4: Combine the whole number with the decimal: 8 + 0.4375 = 8.4375.

Thus, 8 7/16 as a decimal is 8.4375.

Important Glossaries for 8 7/16 as a decimal

Mixed Number: A numerical expression that includes both a whole number and a 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.

Recurring Decimal: A decimal in which one or more digits repeat infinitely. (Note: 8 7/16 does not result in a recurring decimal, but it is a useful term for other conversions.)