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……

• 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 one or more digits repeat infinitely.