20 7/8 as a Decimal

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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: the numerator (number on the top), here 7, which represents how many parts out of the whole, and the denominator (number below), here it is 8, which shows how many parts make the whole. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 20 7/8 as a decimal?

$20 7/8 as a decimal$

Answer

20 7/8 in decimals can be written as 20.875. It is a terminating decimal, meaning it has an end and does not repeat.

Explanation

To convert 20 7/8 into a decimal, we will first convert the fractional part. Let's break down the process:

Step 1: Identify the whole number and the fraction. The whole number is 20, and the fraction is 7/8.

Step 2: Convert the fraction 7/8 into a decimal by performing division.

Step 3: Divide 7 by 8. Since 7 is smaller than 8, add a decimal point and a zero to make it 70.

Step 4: Determine how many times 8 goes into 70, which is 8 times (8 × 8 = 64). Subtract 64 from 70, leaving 6.

Step 5: Bring down another 0, making it 60. Divide 60 by 8, which goes 7 times (8 × 7 = 56). Subtract 56 from 60, leaving 4.

Step 6: Bring down another 0 to get 40. Divide 40 by 8, which goes 5 times (8 × 5 = 40). This leaves no remainder. Therefore, 7/8 as a decimal is 0.875.

Combine the whole number 20 with the decimal 0.875 to get 20.875.