Math  /  Algebra

Question3 Mark for Review one answer. and up to 6 answer. ided space, enter ided space, enter rit as an improper dollar sign. le: will e credit
If x8=5\frac{x}{8}=5, what is the value of 8x?\frac{8}{x} ? 1/51 / 5
Answer Preview: 15\frac{1}{5}

Studdy Solution

STEP 1

1. The given equation is x8=5\frac{x}{8} = 5.
2. We need to find the value of 8x\frac{8}{x}.

STEP 2

1. Solve for xx.
2. Substitute the value of xx into 8x\frac{8}{x}.

STEP 3

First, solve for xx by multiplying both sides of the equation x8=5\frac{x}{8} = 5 by 8:
x8=5 \frac{x}{8} = 5 x=5×8 x = 5 \times 8 x=40 x = 40

STEP 4

Substitute the value of x=40x = 40 into 8x\frac{8}{x}:
8x=840 \frac{8}{x} = \frac{8}{40}
Simplify 840\frac{8}{40} by dividing both the numerator and the denominator by their greatest common divisor, which is 8:
840=8÷840÷8=15 \frac{8}{40} = \frac{8 \div 8}{40 \div 8} = \frac{1}{5}
The value of 8x\frac{8}{x} is:
15 \boxed{\frac{1}{5}}

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