Math  /  Numbers & Operations

Question8. 13=9\frac{1}{3}=\frac{-}{9}

Studdy Solution

STEP 1

1. We are given a proportion where the first fraction is 13 \frac{1}{3} .
2. The second fraction is 9 \frac{-}{9} , where the numerator is missing.
3. We need to find the missing numerator that makes the two fractions equal.

STEP 2

1. Define the variable for the missing numerator.
2. Set up the equation based on the equality of the two fractions.
3. Solve for the missing numerator.

STEP 3

Let x x be the missing numerator in the fraction x9 \frac{x}{9} .

STEP 4

Set up the equation based on the equality of the two fractions:
13=x9\frac{1}{3} = \frac{x}{9}

STEP 5

To solve for x x , cross-multiply:
1×9=3×x1 \times 9 = 3 \times x
This simplifies to:
9=3x9 = 3x

STEP 6

Divide both sides by 3 to solve for x x :
x=93x = \frac{9}{3} x=3x = 3
The missing numerator is:
3\boxed{3}

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