13/75 as a Decimal

Answer

13/75 in decimals can be written as 0.17333….. It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To get 13/75 in decimal, we will use the division method. Here as 13 is smaller than 75, we will take the help of the decimal method, which will give us 0.17333. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (75) will be taken as the divisor.

Step 2: As 13 is smaller than 75, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 13 as 130 and add a decimal point in the quotient place.

Step 3: Now that it is 130, we can divide it by 75. Let's see how many times 75 makes 130.

Step 4: 130 is not a multiple of 75, so we will look for the nearest number that is 75 × 1 = 75. We will write 1 in the quotient place and subtract 75 from 130, which gives 55.

Step 5: Bring down another 0 in the dividend place and make 55 as 550 and then repeat the division process.

Step 6: 75 goes into 550 seven times (75 × 7 = 525), so write 7 in the quotient place. Subtract 525 from 550 to get 25.

Step 7: Bring down another 0, making it 250. 75 goes into 250 three times (75 × 3 = 225), so write 3 in the quotient, and subtract 225 from 250 to get 25 again.

Step 8: Repeat the process as needed until the pattern is clear. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 13/75 as a decimal will be 0.17333……

• 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 has one or more repeating digits after the decimal point.