75/8 as a Decimal

Answer

75/8 in decimals can be written as 9.375. It is a terminating decimal, meaning it will not repeat infinitely.

Explanation

To get 75/8 in 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 (75) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 75 by 8. 8 goes into 75 a total of 9 times because 8 × 9 = 72.

Step 3: Subtract 72 from 75 to get a remainder of 3.

Step 4: Bring down a 0 to make it 30. Divide 30 by 8 to get 3 (since 8 × 3 = 24). Subtract 24 from 30 to get 6.

Step 5: Bring down another 0 to make it 60. Divide 60 by 8 to get 7 (since 8 × 7 = 56). Subtract 56 from 60 to get 4.

Step 6: Bring down another 0 to make it 40. Divide 40 by 8 to get 5 (since 8 × 5 = 40). Subtract 40 from 40 to get 0. The division process completes here as the remainder is 0.

The answer for 75/8 as a decimal will be 9.375.

• 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. ---