-6 5/9 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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: 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 (.) 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 those to the right represent the fractional part.

What is -6 5/9 as a decimal?

$-6 5/9 as a decimal$

Answer

-6 5/9 in decimal form can be written as -6.5555... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert -6 5/9 to a decimal, we will use the division method for the fractional part. First, convert the mixed number to an improper fraction: 5/9 will be the focus for conversion.

Step 1: Identify the numerator and denominator. Here, the numerator (5) will be taken as the dividend, and the denominator (9) will be taken as the divisor.

Step 2: Divide 5 by 9. Since 5 is smaller than 9, we use decimal division.

Step 3: Add a decimal point and a zero to make it 50, then divide.

Step 4: 9 goes into 50 five times (9 × 5 = 45), write 5 in the quotient, and subtract 45 from 50, leaving a remainder of 5.

Step 5: Bring down another 0, making it 50 again, and repeat the division process. The division process continues with the remainder never reaching 0, creating a recurring decimal.

Thus, 5/9 as a decimal is 0.5555... Finally, combine -6 with 0.5555 to get -6.5555...