43/8 as a Decimal

Answer

43/8 in decimals can be written as 5.375. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 43/8 in decimal, we will use the division method. 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 (8) will be taken as the divisor.

Step 2: Divide 43 by 8. 8 goes into 43 five times because 8 × 5 = 40.

Step 3: Subtract 40 from 43, which gives us a remainder of 3.

Step 4: Bring down a 0 to make it 30. Divide 30 by 8, which goes 3 times because 8 × 3 = 24.

Step 5: Subtract 24 from 30, leaving a remainder of 6. Bring down another 0 to make it 60.

Step 6: Divide 60 by 8, which goes 7 times because 8 × 7 = 56.

Step 7: Subtract 56 from 60, leaving a remainder of 4. Bring down another 0 to make it 40.

Step 8: Divide 40 by 8, which goes exactly 5 times because 8 × 5 = 40.

Step 9: Subtract 40 from 40, leaving a remainder of 0, and the division ends.

The answer for 43/8 as a decimal is 5.375.

• 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.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.