which rational number is equivalent to:
_
1.16?
A 7/6
B 15/13
C 17/16
D 29/25
you could have just taken a calculator and evaluated each of the fractions.
I lucked out for the first one
7/6 = 1.16666....
To find the rational number equivalent to 1.16, we need to express it as a fraction in simplest form.
First, let's identify that 1.16 is a decimal number. The digits to the right of the decimal point indicate the value of the fraction's numerator, while the position of the last digit to the right of the decimal point determines the denominator.
In this case, the last digit to the right of the decimal point is 6. As per the place value, this represents the value 6/100, since the digit 6 is in the hundredths place.
Thus, we can form the fraction 1.16 as follows:
1.16 = 1 + 6/100
To simplify the fraction, we convert the whole number 1 to an equivalent fraction with the same denominator:
1 = 100/100
Now, we can add the fractions together:
1 + 6/100 = 100/100 + 6/100
This results in:
1.16 = 106/100
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2 in this case:
106/100 = (106 ÷ 2)/(100 ÷ 2) = 53/50
Hence, the rational number equivalent to 1.16 is 53/50.
Looking at the given options, the correct choice is not listed. Therefore, none of the options A, B, C, or D is equivalent to 1.16.