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Last updated on March 3rd, 2025
This is a straightforward question about converting fractions to decimals. First, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top), here 9, which indicates how many parts out of the whole are considered. The denominator (the number below) shows how many parts make up the whole, here it is 50. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
9/50 in decimals can be written as 0.18. It is a terminating decimal, which means it has an end and does not repeat infinitely.
To convert 9/50 into decimal form, we will use the division method. Since 9 is smaller than 50, we will use the decimal method, which will give us 0.18.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (9) will be taken as the dividend, and the denominator (50) will be taken as the divisor.
Step 2: Since 9 is smaller than 50, it can't be divided as is. We will add a decimal point in the quotient and a zero to the dividend, making it 90.
Step 3: Now that it's 90, we can divide it by 50. We need to determine how many times 50 fits into 90.
Step 4: 50 × 1 = 50, so we can write 1 in the quotient place. Subtracting 50 from 90 gives us 40.
Step 5: Bring down another 0 to the dividend place, making it 400, and repeat the division process. 50 × 8 = 400, so we can write 8 in the quotient place. Subtracting 400 from 400 gives us 0. This process shows that the remainder is 0, indicating a terminating decimal.
The answer for 9/50 as a decimal is 0.18.