43/9 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 43, 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 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 those to the right represent the fractional part.

What is 43/9 as a decimal?

$43/9 as a decimal$

Answer

43/9 in decimals can be written as 4.77777….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 43/9 in decimal, we will use the division method. Here, 43 is larger than 9, so we can perform the division directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (43) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Perform the division of 43 by 9. The integer part of the quotient is 4 since 9 goes into 43 four times (9 × 4 = 36).

Step 3: Subtract 36 from 43, which leaves a remainder of 7.

Step 4: Bring down a 0 to make it 70 and continue the division process.

Step 5: 9 goes into 70 seven times (9 × 7 = 63). Write 7 in the quotient place after the decimal point and subtract 63 from 70, which gives a remainder of 7.

Step 6: Repeat the process of bringing down a 0 to make it 70 and dividing by 9, which continues indefinitely. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 43/9 as a decimal will be 4.7777……