0.87 written as a fraction is _. How would you work it out?
The Correct Answer and Explanation is:
Answer:
0.87 written as a fraction is 87/100
Explanation:
To convert a decimal like 0.87 into a fraction, we begin by understanding the place value of each digit after the decimal point. In this case, the digit 8 is in the tenths place and the digit 7 is in the hundredths place. So, 0.87 means 87 hundredths.
Step 1: Write the decimal as a fraction
We can write 0.87 as: 0.87=871000.87 = \frac{87}{100}0.87=10087
This is because 87 is in the hundredths place, meaning it’s 87 parts out of 100.
Step 2: Simplify the fraction if possible
Now we check if the fraction can be simplified. We look for the greatest common divisor (GCD) of the numerator and the denominator. In this case, 87 and 100 do not share any common factors other than 1. Therefore, the fraction is already in its simplest form.
So, the final answer is: 0.87=871000.87 = \frac{87}{100}0.87=10087
This process works for any decimal. The number of digits after the decimal point tells you what the denominator should be. If there is one digit after the decimal point, the denominator is 10. If there are two digits, the denominator is 100, and so on. In this case, 0.87 has two decimal places, so we use 100 as the denominator.
This method is reliable because it directly uses place value understanding to turn a decimal into a fraction. It’s also easy to verify by dividing 87 by 100, which gives back the original decimal 0.87. That confirms the conversion is accurate. With practice, this process becomes a quick and useful way to move between decimals and fractions.
