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Last updated on March 17th, 2025
This is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top), here 48, which represents how many parts out of the whole; and the denominator (the number below), here 5, which shows how many parts make up the whole. 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.
48/5 as a decimal can be written as 9.6. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 48/5 to a decimal, we use the division method. Here, 48 is larger than 5, so we can divide directly. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (48) will be taken as the dividend and the denominator (5) as the divisor.
Step 2: Divide 48 by 5.
Step 3: 5 goes into 48 nine times because 5 × 9 = 45.
Step 4: Subtract 45 from 48, leaving a remainder of 3.
Step 5: Bring down a 0 to make it 30 and divide again.
Step 6: 5 goes into 30 six times because 5 × 6 = 30.
Step 7: Subtract 30 from 30, leaving a remainder of 0. Since there is no remainder, the process ends here.
The answer for 48/5 as a decimal is 9.6.