Which fraction is equivalent to 0.75? (there is a line over 75)
a. 75/100
b. 20/33
c. 25/33
d. 3/4
i thought it was d but that is when the decimal doesn't repeat so im confused :(
To determine which fraction is equivalent to 0.75, we can convert the decimal 0.75 into a fraction form.
0.75 can be written as 75/100 because there are two decimal places in 0.75.
Now, we can simplify 75/100. By dividing both the numerator and denominator by 25, we get:
75 ÷ 25 = 3
100 ÷ 25 = 4
Therefore, 75/100 is equivalent to 3/4. Hence, the correct answer is (d) 3/4.
To determine which fraction is equivalent to 0.75, we need to express 0.75 as a fraction. The decimal 0.75 can be written as 75/100 because the decimal point is two places to the right of the decimal number 75.
Now, let's simplify the fraction 75/100. Both 75 and 100 are divisible by 25, so we can simplify by dividing them both by 25:
75 ÷ 25 = 3
100 ÷ 25 = 4
Therefore, 75/100 simplifies to 3/4.
So, the correct answer is option d. 3/4.
thank you so much reiny! now i have a better understanding :)
The bar over the digits 75 means that the 75 keeps repeating forever
let x = .75757575...
multiply by 100
100x = 75.757575....
subtract:
99x = 75
x = 75/99 = 25/33
use your calculator to verify.
the multiplication by 100 matches with the number of digits repeating, that is,
if 3 digits had repeated, I would have multiplied by 1000, etc