i don't get this problem
what is the fractional equivalent of 0.078?
A)78/100
b)39/500
c)39/250
d)none of these
0.078 = seventy-eight thousandths
78/1000 = 39/500
HOW YOU GET 39/500 PLEASE EXPLAIN
I reduced the fraction 78/1000 to its lowest terms. I divided both the numerator and denominator by 2.
However, I'm not sure that's the answer your instructor wants. Please check with him/her.
To find the fractional equivalent of a decimal, you need to express the decimal as a fraction.
In this case, you have the decimal 0.078. To convert this decimal to a fraction, follow these steps:
Step 1: Place the decimal value as the numerator of the fraction.
0.078 -> 78 (numerator)
Step 2: Determine the denominator by placing the number 1 in the denominator, followed by as many zeros as the decimal has digits after the decimal point.
Decimal has 3 digits after the decimal point, so the denominator is 1000.
Putting it together, the fractional equivalent of 0.078 is 78/1000.
Now, let's compare this to the answer choices provided:
A) 78/100: This simplifies to 39/50, which is not the same as 78/1000. Therefore, it is not the correct answer.
B) 39/500: This fraction does not match the fractional equivalent we found, so it is not the correct answer.
C) 39/250: This fraction does not match the fractional equivalent we found, so it is not the correct answer.
D) None of these: Since none of the given answer choices match our fractional equivalent, the correct answer is indeed "none of these."
Therefore, the correct answer is D) none of these.