45/16 as a Decimal

Answer

45/16 in decimals can be written as 2.8125. It is a terminating decimal, meaning it ends after a certain number of digits.

Explanation

To get 45/16 in decimal, we will use the division method. Here, 45 is divided by 16. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (45) will be taken as the dividend and the denominator (16) will be the divisor.

Step 2: Divide the numerator by the denominator. 45 divided by 16 gives 2 as the whole number in the quotient.

Step 3: Subtract 32 (16 × 2) from 45, which leaves a remainder of 13.

Step 4: Bring down a 0 to make it 130, and divide 130 by 16, giving 8 in the quotient.

Step 5: Subtract 128 (16 × 8) from 130, leaving a remainder of 2.

Step 6: Bring down another 0 to make it 20, and divide by 16, giving 1 in the quotient.

Step 7: Subtract 16 from 20, leaving a remainder of 4.

Step 8: Bring down a final 0 to make it 40, and divide by 16, giving 2 in the quotient.

Step 9: Subtract 32 from 40, leaving a remainder of 8. Step 10: Finally, bring down another 0 to make it 80, and divide by 16, giving 5 in the quotient with no remainder.

The answer for 45/16 as a decimal will be 2.8125.

• 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.