79/20 as a Decimal

Professor Greenline Explaining Math Concepts

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This is a basic question on decimal conversion. To begin, we need to understand fractions and decimals. A fraction represents a part of a whole. It consists of two parts: the numerator (the top number), which here is 79, indicating the parts out of the whole, and the denominator (the bottom number), which here is 20, indicating the total number of parts that make up the whole. A decimal is a way to express 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 number, while those to the right represent the fractional part.

What is 79/20 as a decimal?

$79/20 as a decimal$

Answer

79/20 in decimals can be written as 3.95.

Explanation

To convert 79/20 into a decimal, we will use the division method. Since 79 is larger than 20, we can perform simple division to find the decimal. Let's break down the process step by step:

Step 1: Identify the numerator and denominator; the numerator (79) will be the dividend, and the denominator (20) will be the divisor.

Step 2: Divide 79 by 20. 20 goes into 79 three times (since 20x3=60).

Step 3: Subtract 60 from 79, leaving a remainder of 19.

Step 4: Since there is a remainder, we add a decimal point and a zero to the remainder, making it 190.

Step 5: Divide 190 by 20. 20 goes into 190 nine times (since 20x9=180).

Step 6: Subtract 180 from 190, leaving a remainder of 10.

Step 7: Bring down another zero, making it 100. Divide 100 by 20, which goes exactly five times (since 20x5=100), leaving no remainder.

Thus, the decimal representation of 79/20 is 3.95.

Important Glossaries for 79/20 as a decimal

Fraction: A numerical quantity representing a part of a whole, consisting of a numerator and a denominator.
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 where one or more digits repeat infinitely.