34/9 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 of a whole. It has two parts, the 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 9. A decimal is a way to represent a 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 34/9 as a decimal?

$34/9 as a decimal$

Answer

34/9 in decimals can be written as 3.77777….. It is a recurring decimal, showing that it will repeat the same digit infinitely.

Explanation

To get 34/9 in decimal, we will use the division method. Here, as 34 is larger than 9, we can directly perform the division to get the decimal representation. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (34) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 34 by 9. The whole number part of the quotient is 3, as 9 goes into 34 three times (9 × 3 = 27).

Step 3: Subtract 27 from 34, which leaves a remainder of 7.

Step 4: Bring down a 0 to make it 70, and place a decimal point in the quotient. Divide 70 by 9, which goes 7 times (9 × 7 = 63).

Step 5: Subtract 63 from 70, leaving a remainder of 7. Bring down another 0, making it 70 again, and repeat the division process. The division process continues with a remainder of 7, resulting in the recurring decimal 3.7777...

The answer for 34/9 as a decimal will be 3.7777……

Important Glossaries for 34/9 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.