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Last updated on March 5th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 25 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 30. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
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.
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.