2 3/7 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn mixed numbers and decimals. A mixed number combines a whole number with a fraction. The fraction has two parts: the numerator (number on the top), which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole. 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 2 3/7 as a decimal?

$2 3/7 as a decimal$

Answer

2 3/7 in decimals can be written as approximately 2.42857. It is a recurring decimal, showing it will repeat a pattern infinitely.

Explanation

To get 2 3/7 in decimal, we will convert the fraction part first and then add the whole number part. Let's see the step-by-step breakdown of the process:

Step 1: Convert the fraction 3/7 into a decimal using division.

Step 2: Identify the numerator (3) as the dividend and the denominator (7) as the divisor.

Step 3: Since 3 is smaller than 7, we will use decimal division to convert it. Add a decimal point and zeros to the dividend.

Step 4: Divide 3.000000 by 7. The quotient begins with 0.42857…

Step 5: This is a recurring decimal as the digits "42857" repeat infinitely.

Step 6: Add the whole number part, 2, resulting in 2.42857 as the decimal form of 2 3/7.

Important Glossaries for 2 3/7 as a decimal

Mixed Number: A number consisting of an integer and a proper fraction.
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.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
Division: A mathematical operation where a number, the dividend, is divided by another number, the divisor, to get a quotient.