Fill in the blank to make the two fractions equivalent.
8/9= _ /27
24
To make the two fractions equivalent, we need to find the missing numerator.
Here's how we can do it:
Step 1: Set up a proportion with the given fractions.
8/9 = x/27
Step 2: Cross-multiply to find the value of x.
8 * 27 = 9 * x
216 = 9x
Step 3: Solve for x by dividing both sides of the equation by 9.
216/9 = x
24 = x
So, the missing numerator that makes the two fractions equivalent is 24.
Therefore, 8/9 is equivalent to 24/27.
To make the two fractions equivalent, you need to find a number to multiply both the numerator and denominator of the first fraction by in order to get the second fraction. In this case, you want to find a number to multiply 8/9 by to get the numerator of the second fraction to be 27.
To do this, you divide 27 by the denominator of the first fraction, which is 9.
27 ÷ 9 = 3
Next, you multiply the numerator and denominator of the first fraction by the quotient obtained from the division:
8/9 × 3/3 = 24/27
Therefore, the blank should be filled with 24.