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Last updated on March 21st, 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, 42 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. A decimal is a way to represent the 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.
42/5 in decimal can be written as 8.4. It is a terminating decimal, meaning it does not repeat infinitely.
To get 42/5 in decimal, we will use the division method. Here, 42 is larger than 5, so we can proceed directly to division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (42) will be taken as the dividend and the denominator (5) will be taken as the divisor.
Step 2: Divide 42 by 5. Since 42 is larger than 5, we can divide directly.
Step 3: Determine how many times 5 goes into 42. The nearest multiple of 5 less than 42 is 8 × 5 = 40.
Step 4: Write 8 in the quotient place and subtract 40 from 42, giving a remainder of 2.
Step 5: Bring down a 0 to make it 20 and continue the division. 5 goes into 20 exactly 4 times.
Step 6: Write 4 in the quotient place after the decimal point. The remainder becomes 0, and this process ends here as a terminating decimal.
The answer for 42/5 as a decimal is 8.4.