30/48 as a Decimal

Answer

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.

Explanation

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.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.