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Last updated on March 17th, 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 (the number on the top) here, 30 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 60. 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.
30/60 in decimals can be simplified to 0.5. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 30/60 in decimal, we will use the division method. Since both 30 and 60 can be simplified, let's first simplify the fraction before converting to decimal:
Step 1: Simplify the fraction 30/60 by dividing both the numerator and the denominator by their greatest common divisor, which is 30. This gives us 1/2.
Step 2: Now, convert the fraction 1/2 to a decimal. We will use division: 1 divided by 2.
Step 3: Since 1 is smaller than 2, we will take the help of decimals. We will add 0 to the dividend, making it 10, and add a decimal point in the quotient place.
Step 4: Now that it is 10, we can divide it by 2. 2 goes into 10 exactly 5 times, which gives us 10.
Step 5: Subtract 10 from 10, which leaves 0 as a remainder, indicating the division process is complete.
Thus, the answer for 30/60 as a decimal will be 0.5.