Which of the following is the fractional equivalent to 0.078?
Choose the best answer from the options below:
A 78/10
B 78/100
C 39/50
D 39/500
To find the fractional equivalent of 0.078, we can use place value. Since the number is in the tenths place, we can write it as 78/100.
Therefore, the answer is B) 78/100
To determine the fractional equivalent of 0.078, we can convert the decimal into a fraction.
Step 1: Write the decimal as the numerator of the fraction.
0.078
Step 2: Since the decimal has three decimal places, the denominator will be 10 raised to the power of 3 (because it's in the thousandths place).
Denominator = 10^3 = 1000
Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case.
Numerator = 78 (0.078 / 0.001 = 78)
Denominator = 1000 (1000 / 10 = 100)
So, the fractional equivalent of 0.078 is 78/1000.
Simplifying the fraction further, we can divide the numerator and denominator by 10:
Numerator = 78 / 10 = 39
Denominator = 1000 / 10 = 100
Therefore, the fractional equivalent to 0.078 is 39/100.
Among the options given, the correct fractional equivalent to 0.078 is:
C) 39/100.