-1 1/6 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 of the whole. It has two parts: the numerator (number on the top), which represents how many parts out of the whole. The denominator (number below) 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 -1 1/6 as a decimal?

$-1 1/6 as a decimal$

Answer

-1 1/6 in decimals can be written as -1.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get -1 1/6 in decimal, we will use the division method. First, convert the mixed number to an improper fraction. Multiply the whole number (1) by the denominator (6) and add the numerator (1), which gives us 7/6. Since it's negative, we have -7/6. Let's see the step-by-step breakdown of the process:

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

Step 2: Divide 7 by 6. Since 7 is greater than 6, it can be divided. We start with 1 as the whole number, and the remainder is 1.

Step 3: Write 1 in the quotient place, and bring down a 0 to make it 10.

Step 4: Divide 10 by 6. The nearest multiple of 6 is 6 × 1 = 6. Write 1 in the quotient and subtract 6 from 10, which gives 4.

Step 5: Bring down another 0 to make it 40, then divide by 6. The nearest multiple is 6 × 6 = 36. Write 6 in the quotient and subtract 36 from 40, giving 4.

Step 6: Repeat the process, and you will see the decimal part is recurring.

The answer for -1 1/6 as a decimal is -1.1666……