Problem

Find the missing denominator. \[ \frac{7}{8}=\frac{21}{?} \]

Solution

Step 1 :The problem is asking for the missing denominator in the equation \(\frac{7}{8} = \frac{21}{?}\).

Step 2 :The two fractions are equivalent, so the cross product of the numerators and denominators should be equal. This means that 7 times the unknown denominator should equal 8 times 21.

Step 3 :Let's denote the missing denominator as 'x'. So, we have the equation 7*x = 8*21.

Step 4 :Solving this equation for 'x', we get x = \(\frac{8*21}{7}\).

Step 5 :Calculating the right side of the equation, we find that x = 24.

Step 6 :So, the missing denominator is 24.

Step 7 :Final Answer: The missing denominator is \(\boxed{24}\).

From Solvely APP
Source: https://solvelyapp.com/problems/17201/

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