Solve the following by dividing and reducing to the lowest common denominator.
7/9 ÷ 2/5 =
(7/9 )/( 2/5) = 7/9 * 5/2 = 35/18 = 1 17/18.
how did you get 117/18. I only get 35/18
henry2 didn't type this ~~> 117/18
He typed 1 17/18. Do you see the difference? And do you see the connection with 35/18?
To divide the fractions 7/9 and 2/5, you can follow these steps:
Step 1: Invert the second fraction (divisor) and change the division operation to multiplication.
So the expression becomes: (7/9) * (5/2).
Step 2: Multiply the numerators and denominators separately.
(7 * 5) / (9 * 2) = 35/18.
Step 3: Reduce the fraction to its lowest terms by finding the greatest common divisor (GCD) between the numerator and denominator.
In this case, the GCD of 35 and 18 is 1.
Step 4: Divide both the numerator and denominator by their GCD.
35/18 ÷ 1 = 35/18.
Therefore, the division of 7/9 ÷ 2/5, reduced to the lowest common denominator, is 35/18.