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Last updated on March 13th, 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, 50 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 80. 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 that to the right represents the fractional part.
50/80 in decimals can be written as 0.625. It is a terminating decimal, meaning it ends after a certain number of digits.
To convert 50/80 into a decimal, we will use the division method. Here, as 50 is smaller than 80, we will use decimal division to get 0.625. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (50) will be taken as dividend and denominator (80) will be taken as divisor.
Step 2: As 50 is smaller than 80, it can't be divided directly. We will add a decimal point and a zero to the dividend, making it 500.
Step 3: Now that it is 500, we can divide it by 80.
Step 4: The nearest multiple of 80 that is less than 500 is 80 × 6 = 480. Subtracting 480 from 500 gives 20.
Step 5: Bring down another 0 to make it 200 and divide by 80 again. The nearest multiple is 80 × 2 = 160. Subtracting gives 40.
Step 6: Bring down another 0 to make it 400. Divide by 80, which goes 5 times (80 × 5 = 400). Subtracting gives 0, and the division is complete.
The answer for 50/80 as a decimal will be 0.625.