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Last updated on March 16th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) here, 46 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 50. A decimal is a way to represent a number that is not whole, using a (.) or 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.
46/50 in decimals can be written as 0.92. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 46/50 in decimal, we will use the division method. Here, since 46 is smaller than 50, we will take help of decimal method which will give us 0.92. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (46) will be taken as the dividend and the denominator (50) will be taken as the divisor.
Step 2: As 46 is smaller than 50, it can't be divided directly, so we use decimals. We add a decimal point in the quotient place and add a 0 to the dividend, which makes 46 into 460.
Step 3: Now that it is 460, we can divide it by 50. Let's see how many times 50 fits into 460.
Step 4: 50 × 9 = 450. We will write 9 in the quotient place and subtract 450 from 460, which gives 10.
Step 5: Bringing down another 0 in the dividend place makes 10 into 100, and then we divide again.
Step 6: 50 × 2 = 100. We write 2 in the quotient place and subtract 100 from 100, which gives 0.
This indicates the division process terminates, and we have a terminating decimal: 0.92.