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Last updated on March 12th, 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: the numerator (number on the top), here 41, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 60. A decimal is a way to represent a 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.
41/60 in decimals can be written as 0.6833. It is a terminating decimal.
To get 41/60 in decimal, we will use the division method. Here, since 41 is less than 60, we will use the decimal method, which will give us 0.6833. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (41) will be taken as the dividend and the denominator (60) will be taken as the divisor.
Step 2: As 41 is smaller than 60, it can't be divided, so we'll use decimals. We will add 0 to the dividend, making it 410, and add a decimal point in the quotient place.
Step 3: Now that it is 410, we can divide it by 60. Let's see how many times 60 makes 410.
Step 4: 60 goes into 410 six times, as 60 × 6 = 360. We write 6 in the quotient place, subtract 360 from 410 to get 50.
Step 5: Bring down another 0, making it 500. 60 goes into 500 eight times, as 60 × 8 = 480. Write 8 in the quotient place, subtract 480 from 500 to get 20.
Step 6: Bring down another 0, making it 200. 60 goes into 200 three times, as 60 × 3 = 180. Write 3 in the quotient place, subtract 180 from 200 to get 20.
Step 7: Bring down another 0, making it 200. Repeat the process, and since the remainder repeats, this confirms the decimal is terminating.
The answer for 41/60 as a decimal will be 0.6833.