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Last updated on March 4th, 2025
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts, numerator (number on the top) here, 30, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 48. A decimal is a way to represent a number that is not whole, using a (.) or decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
30/48 in decimal form can be written as 0.625. It is a terminating decimal, meaning it ends after a finite number of digits.
To convert 30/48 into a decimal, we will use the division method.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (30) will be taken as the dividend and the denominator (48) will be taken as the divisor.
Step 2: Perform the division of 30 by 48. Since 30 is less than 48, we will add a decimal point and a zero to the dividend, making it 300.
Step 3: Determine how many times 48 fits into 300. The nearest multiple of 48 is 6 (since 48 × 6 = 288).
Step 4: Write 6 in the quotient place and subtract 288 from 300 which leaves a remainder of 12.
Step 5: Bring down another 0 to make 120, then divide by 48. The nearest multiple is 2 (since 48 × 2 = 96).
Step 6: Write 2 in the quotient, subtract 96 from 120, giving a remainder of 24.
Step 7: Bring down another 0 to make it 240, then divide by 48. The nearest multiple is 5 (since 48 × 5 = 240).
Step 8: Write 5 in the quotient, subtract 240 from 240, getting a remainder of 0, stopping the division process.
The final answer for 30/48 as a decimal is 0.625.