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Last updated on March 4th, 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, 29 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 40. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
29/40 in decimals can be written as 0.725. It is a terminating decimal, meaning it has an end.
To get 29/40 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (29) will be taken as the dividend and the denominator (40) will be taken as the divisor.
Step 2: Since 29 is smaller than 40, it can't be divided directly; we will take the help of decimals. We will add 0 to the dividend, making 29 into 290 and adding a decimal point in the quotient place.
Step 3: Now that it is 290, we can divide it by 40. Let's see how many times 40 makes 290.
Step 4: 40 goes into 290 approximately 7 times (40 × 7 = 280). We write 7 in the quotient place and subtract 280 from 290, giving us 10.
Step 5: Bring down another 0 in the dividend place, making 10 into 100, and repeat the division process.
Step 6: 40 goes into 100 approximately 2 times (40 × 2 = 80). We write 2 in the quotient place and subtract 80 from 100, giving us 20.
Step 7: Bring down another 0, making 20 into 200, and repeat the division process.
Step 8: 40 goes into 200 exactly 5 times (40 × 5 = 200). We write 5 in the quotient place and subtract 200 from 200, giving us 0. Since the remainder is now 0, the division process ends here.
The answer for 29/40 as a decimal is 0.725.