5 7/8 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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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, numerator (number on the top) here, 7 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 that to the right represents the fractional part.

What is 5 7/8 as a decimal?

$5 7/8 as a decimal$

Answer

5 7/8 in decimals can be written as 5.875. It is a terminating decimal, meaning it ends and does not repeat.

Explanation

To get 5 7/8 in decimal, we will convert the fractional part 7/8 into a decimal and then add it to the whole number 5. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 7 by 8. Since 7 is less than 8, we will start with a decimal point and add zeros to complete the division.

Step 3: 7 divided by 8 gives 0.875. This is because 8 goes into 70 eight times (8 × 8 = 64), leaving a remainder of 6. Bring down another zero to make 60, divide by 8 gives 7 (8 × 7 = 56), leaving a remainder of 4. Bring down another zero to make 40, divide by 8 gives 5 (8 × 5 = 40), with no remainder.

Step 4: Add the decimal 0.875 to the whole number 5, giving us 5.875.

This process shows that 5 7/8 as a decimal is 5.875.