3 15/16 as a Decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we have to learn mixed numbers and decimals. A mixed number consists of a whole number and a fraction. A fraction represents a part of the whole, with a numerator (top number) indicating how many parts are considered and a denominator (bottom number) showing how many parts make up a whole. A decimal is a way to represent numbers that are 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 3 15/16 as a decimal?

$3 15/16 as a decimal$

Answer

3 15/16 in decimals can be written as 3.9375. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 3 15/16 to a decimal, we will first convert the fraction part to a decimal and then add it to the whole number. Let's break down the process step by step:

Step 1: Identify the whole number (3) and the fraction (15/16).

Step 2: Convert the fraction 15/16 to a decimal by dividing the numerator (15) by the denominator (16).

Step 3: Perform the division 15 ÷ 16, which equals 0.9375.

Step 4: Add the decimal value of the fraction (0.9375) to the whole number (3).

Step 5: This gives us 3 + 0.9375 = 3.9375.

Therefore, 3 15/16 as a decimal is 3.9375.

Important Glossaries for 3 15/16 as a decimal

Mixed Number: A number consisting of a whole number and a fraction.
Fraction: A numerical quantity 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.