45/8 as a Decimal

Answer

45/8 in decimals can be written as 5.625. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 45/8 in decimal, we will use the division method. Here 45 is larger than 8, so we can divide directly. 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 (8) will be taken as the divisor.

Step 2: Divide 45 by 8. The nearest whole number less than 45 that 8 can multiply to is 40 (8 × 5).

Step 3: Write 5 in the quotient place and subtract 40 from 45 to get 5.

Step 4: Bring down 0 to make it 50, then divide 50 by 8. The nearest multiple is 48 (8 × 6), so write 6 in the quotient place and subtract 48 to get 2.

Step 5: Bring down another 0 to make it 20, then divide 20 by 8. The nearest multiple is 16 (8 × 2), so write 2 in the quotient place and subtract 16 to get 4.

Step 6: Bring down another 0 to make it 40, then divide 40 by 8 to get 5. Subtract 40, and the remainder is 0. The division process ends here, giving us a terminating decimal.

The answer for 45/8 as a decimal will be 5.625.

• 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.