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Math  /  Algebra

Question 所 36=89\frac{\text { 所 }}{36}=\frac{8}{9}

Studdy Solution

STEP 1

1. The equation 所36=89\frac{\text{所}}{36} = \frac{8}{9} is a proportion.
2. We need to solve for the variable 所\text{所}.

STEP 2

1. Cross-multiply to eliminate the fractions.
2. Solve for the variable 所\text{所}.

STEP 3

Cross-multiply to eliminate the fractions. This means multiplying the numerator of one fraction by the denominator of the other fraction:
所×9=8×36\text{所} \times 9 = 8 \times 36

STEP 4

Calculate the right side of the equation:
8×36=2888 \times 36 = 288
Now, the equation becomes:
9×所=2889 \times \text{所} = 288

STEP 5

Solve for 所\text{所} by dividing both sides of the equation by 9:
所=2889\text{所} = \frac{288}{9}
Calculate the division:
所=32\text{所} = 32
The value of 所\text{所} is:
32\boxed{32}

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