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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 (number on the top) and denominator (number below). Here, 15 is the numerator, representing how many parts out of the whole, and 60 is the denominator, showing how many parts make the whole. 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.
15/60 in decimals can be written as 0.25. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 15/60 into a decimal, we will use the division method. Here, 15 is smaller than 60, so we will use the decimal method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (60) will be taken as the divisor.
Step 2: Since 15 is smaller than 60, it can't be divided directly, so we will add a decimal point and a zero to the dividend, making it 150.
Step 3: Now, we can divide 150 by 60. Let's see how many times 60 fits into 150.
Step 4: 60 goes into 150 exactly 2 times (since 60 × 2 = 120).
Step 5: Write 2 in the quotient place. Subtract 120 from 150 to get 30.
Step 6: Bring down another 0 to make it 300 and divide by 60. 60 goes into 300 exactly 5 times (since 60 × 5 = 300), leaving a remainder of 0. The division process stops here, resulting in a terminating decimal.
The answer for 15/60 as a decimal is 0.25.