75/8 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top) here, 75 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 75/8 as a decimal?

$75/8 as a decimal$

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.