15/28 as a Decimal

Answer

15/28 as a decimal can be written as approximately 0.5357. It is a terminating decimal, which means it ends after a few digits.

Explanation

To convert 15/28 to a decimal, we will use the division method. Since 15 is smaller than 28, we will use the decimal method to perform the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (28) will be taken as the divisor.

Step 2: As 15 is smaller than 28, we need to convert it into a decimal form by adding a decimal point and zeros.

Step 3: We perform the division: - 28 goes into 150 five times (since 28 × 5 = 140), so we write 5 in the quotient place and subtract 140 from 150, leaving us with a remainder of 10.

Step 4: Bring down a zero, making it 100, and divide by 28. - 28 goes into 100 three times (since 28 × 3 = 84), so we write 3 in the quotient place and subtract 84 from 100, leaving a remainder of 16.

Step 5: Bring down another zero, making it 160, and divide by 28. - 28 goes into 160 five times (since 28 × 5 = 140), so we write 5 in the quotient place and subtract 140 from 160, leaving a remainder of 20.

Step 6: Bring down another zero, making it 200, and divide by 28. - 28 goes into 200 seven times (since 28 × 7 = 196), so we write 7 in the quotient place and subtract 196 from 200, leaving a remainder of 4. The division process ends here with a remainder, but since we have reached a sufficient number of decimal places for practical purposes, we can conclude the answer.

The answer for 15/28 as a decimal is approximately 0.5357.

• 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 after a finite number of digits.