25/30 as a Decimal

Answer

25/30 in decimals can be simplified to 5/6 and then written as approximately 0.8333. It is a repeating decimal, showing it will repeat the digit pattern infinitely.

Explanation

To get 25/30 in decimal, we will first simplify the fraction, then use division to convert it to decimal form.

Step 1: Simplify the fraction 25/30 to 5/6 by dividing both the numerator and the denominator by 5.

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

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

Step 4: Now it is 50, and 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, which gives 2.

Step 6: Bring down another 0 in the dividend place, making it 20, and then repeat the division process. The division process continues, and we don't get the remainder as 0, making this process a repeating decimal.

The answer for 25/30 as a decimal will be approximately 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.
   
• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.