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Last updated on March 17th, 2025
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 (the number on the top), here -6, which represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 5. 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.
-6/5 in decimal form can be written as -1.2. It is a terminating decimal, showing that it ends and does not repeat infinitely.
To get -6/5 in decimal, we will use the division method. Since 6 is greater than 5, we can directly divide without needing to adjust by adding a decimal point initially. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (-6) will be taken as the dividend, and the denominator (5) will be taken as the divisor.
Step 2: Divide 6 by 5. Since 6 is larger than 5, you can perform the division directly.
Step 3: 5 goes into 6 once, so write 1 in the quotient place. Subtract 5 from 6 to get 1.
Step 4: Add a decimal point in the quotient and bring down a 0 to make it 10.
Step 5: 5 goes into 10 twice, so write 2 in the quotient after the decimal point. Subtract 10 from 10, leaving a remainder of 0. Since there is no remainder, the division process is complete, and the answer is a terminating decimal.
The answer for -6/5 as a decimal will be -1.2.