55/8 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, 55 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 55/8 as a decimal?

$55/8 as a decimal$

Answer

55/8 in decimals can be written as 6.875. It is a terminating decimal, showing it ends after a few digits.

Explanation

To get 55/8 in decimal, we will use the division method. Here, as 55 is larger than 8, we can directly divide it. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (55) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 55 by 8. 8 goes into 55 six times (since 8 × 6 = 48), which we write in the quotient place.

Step 3: Subtract 48 from 55, which gives us 7.

Step 4: Bring down a 0 to make it 70, then divide by 8. 8 goes into 70 eight times (since 8 × 8 = 64). Write 8 in the quotient.

Step 5: Subtract 64 from 70, which gives us 6.

Step 6: Bring down another 0 to make it 60, then divide by 8. 8 goes into 60 seven times (since 8 × 7 = 56). Write 7 in the quotient.

Step 7: Subtract 56 from 60, which gives us 4.

Step 8: Bring down another 0 to make it 40, then divide by 8. 8 goes into 40 exactly five times (since 8 × 5 = 40). Write 5 in the quotient. Since there is no remainder, the division ends here.

The answer for 55/8 as a decimal will be 6.875.