45/54 as a Decimal

Answer

45/54 in decimals can be simplified to 5/6, and then written as 0.83333….. It is a recurring decimal, indicating it will repeat the digit infinitely.

Explanation

To get 45/54 in decimal, we will first simplify it to 5/6 and then use the division method for conversion. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 45/54. Both the numerator and the denominator can be divided by 9, resulting in 5/6.

Step 2: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (6) as the divisor.

Step 3: As 5 is smaller than 6, we will take the help of decimals. We will add 0 to the dividend, making 5 as 50 and add a decimal point in the quotient place.

Step 4: Now that it is 50, we can divide it by 6. Let's see how many times 6 makes 50.

Step 5: 50 is not a multiple of 6, so we will look for the nearest number that is 6 × 8 = 48. We will write 8 in the quotient place and subtract 48 from 50 to get 2.

Step 6: Bring down another 0 in the dividend place to make it 20 and then repeat the division process. The division process continues, and we don't get the remainder as 0, which makes it a recurring decimal.

The answer for 45/54 as a decimal will be 0.8333……

• 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 that repeats the same digit or group of digits infinitely.