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Solve for bb. Express your answer as a proper or improper fraction in simplest terms.one half, minus, one fifth, b, equals, start fraction, 5, divided by, 8, end fraction21​ − 51​ b=85​

Question

Solve for bb. Express your answer as a proper or improper fraction in simplest terms.one half, minus, one fifth, b, equals, start fraction, 5, divided by, 8, end fraction21​ − 51​ b=85​

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Solution

The equation you've given is 1/2 - 1/5b = 5/8.

Step 1: To isolate the term with 'b', we'll first move 1/2 to the right side of the equation by subtracting 1/2 from both sides. This gives us:

-1/5b = 5/8 - 1/2

Step 2: To simplify the right side of the equation, we need to find a common denominator for 5/8 and 1/2. The least common multiple of 8 and 2 is 8, so we'll convert 1/2 to 4/8. This gives us:

-1/5b = 5/8 - 4/8

Step 3: Now, subtract the fractions on the right side of the equation:

-1/5b = 1/8

Step 4: To solve for 'b', we'll divide both sides of the equation by -1/5. This is the same as multiplying by -5. This gives us:

b = 1/8 * -5

Step 5: Multiply the fractions:

b = -5/8

So, the solution to the equation is b = -5/8.

This problem has been solved

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