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Last updated on March 17th, 2025
It is a simple question on decimal conversion. Firstly, we have to understand mixed numbers and decimals. A mixed number is a combination of a whole number and a fraction. Here, -95 is the whole number and 1/8 is the fractional part. A decimal is a way to represent numbers that are 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 number, and those to the right represent the fractional part.
-95 1/8 in decimal can be written as -95.125.
To convert -95 1/8 into a decimal, we will first convert the fractional part, 1/8, into a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator of the fraction. Here, the numerator (1) will be the dividend and the denominator (8) will be the divisor.
Step 2: Divide 1 by 8. Since 1 is smaller than 8, we will add a decimal point and a zero to make it 10.
Step 3: Divide 10 by 8, which gives 1 with a remainder of 2. So, 1/8 starts with 0.1.
Step 4: Bring down another 0 to make it 20. Divide 20 by 8, which gives 2 with a remainder of 4.
Step 5: Bring down another 0 to make it 40. Divide 40 by 8, which gives 5 with no remainder. The division process gives us a terminating decimal, 0.125.
Step 6: Combine this with the whole number part, -95, to get -95.125.