34/5 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, 34 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. 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 34/5 as a decimal?

$34/5 as a decimal$

Answer

34/5 in decimals can be written as 6.8. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 34/5 in decimal, we will use the division method. Here, as 34 is larger than 5, we proceed with the division directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (34) will be taken as the dividend and denominator (5) will be taken as the divisor.

Step 2: Divide 34 by 5 to determine how many times 5 can go into 34.

Step 3: 5 goes into 34 six times, as 5 × 6 = 30.

Step 4: Write 6 in the quotient place and subtract 30 from 34, which gives a remainder of 4.

Step 5: Bring down a 0 to make it 40, and divide by 5 again. Step 6: 5 goes into 40 eight times, exactly, as 5 × 8 = 40.

Step 7: Write 8 in the quotient place after the decimal, and subtract 40 from 40 gives a remainder of 0, which means the division process ends here.

The answer for 34/5 as a decimal is 6.8.