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Math  /  Algebra

QuestionFill in the blank to make the two fractions equivalent.  II 32=38\frac{\text { II }}{32}=\frac{3}{8}

Studdy Solution

STEP 1

1. The fractions II32\frac{\text{II}}{32} and 38\frac{3}{8} are equivalent.
2. To make two fractions equivalent, their cross-products must be equal.

STEP 2

1. Set up the equation using cross-multiplication.
2. Solve for the unknown numerator.

STEP 3

To find the value that makes the fractions equivalent, use cross-multiplication. Set up the equation by multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa:
II×8=3×32 \text{II} \times 8 = 3 \times 32

STEP 4

Calculate the right side of the equation:
3×32=96 3 \times 32 = 96
Now the equation is:
II×8=96 \text{II} \times 8 = 96

STEP 5

Solve for II\text{II} by dividing both sides of the equation by 8:
II=968 \text{II} = \frac{96}{8}
Calculate the division:
II=12 \text{II} = 12
The value that makes the fractions equivalent is:
12 \boxed{12}

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