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Last updated on March 27th, 2025
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 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.
-9/8 in decimals can be written as -1.125. It is a terminating decimal, meaning it does not repeat infinitely.
To get -9/8 in decimal form, we will use the division method. Here, as 9 is greater than 8, we will perform the division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (-9) will be taken as the dividend, and the denominator (8) will be taken as the divisor.
Step 2: Divide 9 by 8. The whole number part of the division is 1, since 8 goes into 9 once.
Step 3: Write 1 in the quotient place. Subtract 8 from 9, which leaves a remainder of 1.
Step 4: Bring down a 0 to make it 10. Divide 10 by 8, which gives 1 with a remainder of 2.
Step 5: Bring down another 0 to make it 20. Divide 20 by 8, which gives 2 with a remainder of 4.
Step 6: Bring down another 0 to make it 40. Divide 40 by 8, which gives 5 with no remainder.
The division process stops here, and the answer for -9/8 as a decimal is -1.125.