7/6 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 fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 7 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 6. 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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 7/6 as a decimal?

$7/6 as a decimal$

Answer

7/6 in decimals can be written as 1.1666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 7/6 in decimal, we will use division method. Here as 7 is larger than 6, we can directly perform division which will give us 1.1666.

Let's see the step by step breakdown of the process.

Step 1: Identify the numerator and denominator because numerator (7) will be taken as dividend and denominator (6) will be taken as divisor.

Step 2: Divide 7 by 6. Since 7 is greater than 6, the division starts with 7/6 = 1 with a remainder.

Step 3: After getting the whole number 1, subtract 6 from 7, giving 1.

Step 4: Bring down a 0 to make it 10, put a decimal point in the quotient, and divide 10 by 6 to get 1.

Step 5: Subtract 6 from 10 to get 4, and bring down another 0 to make it 40. Divide 40 by 6 to get 6, with a remainder.

Step 6: Subtract 36 from 40 to get 4, and the process repeats, leading to a recurring decimal.

The answer for 7/6 as a decimal will be 1.1666......

Important Glossaries for 7/6 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.
Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.