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Last updated on March 3rd, 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 (number on the top) here, 10 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
10/8 in decimal can be written as 1.25. It is a terminating decimal, indicating that it stops after a certain number of decimal places.
To get 10/8 in decimal, we will use the division method. Since 10 is greater than 8, we can directly divide. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: Divide 10 by 8. Since 8 goes into 10 once, write 1 in the quotient place.
Step 3: Subtract 8 from 10, which gives 2 as the remainder.
Step 4: Bring down a 0 to make it 20, and divide 20 by 8.
Step 5: 8 goes into 20 two times (8 × 2 = 16), write 2 in the quotient place and subtract 16 from 20, which leaves a remainder of 4.
Step 6: Bring down another 0 to make it 40, and divide 40 by 8.
Step 7: 8 goes into 40 five times (8 × 5 = 40), write 5 in the quotient place.
Step 8: The remainder is now 0, so the process stops here.
The answer for 10/8 as a decimal will be 1.25.