MHB Help with a Fractional Equation

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SUMMARY

The discussion centers on solving the fractional equation 5/9 (F-32) with F=77. The user initially converted 5/9 to a decimal, resulting in approximately 0.55, but faced challenges when applying this to the equation. The correct approach involves substituting F with 77, simplifying to F - 32 = 45, and then calculating 5/9 of 45, which leads to the solution. The user is encouraged to focus on proper fraction manipulation rather than solely relying on decimal conversion.

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For most of the algebra questions I'm working on, I'm doing okay, with an exception here and there. The good news for those who have helped me, I'm getting a handle on the addition and associative properties and finally learned I needed to subtract on both sides of equation. Feeling better about that.

However, I'm on a problem that is fraction related equation-I know how to convert to decimal. But I'm apparently over looking something. But I assume I have to convert to decimal. Yes?

The problem: 5/9 (F-32); F=77

To explain what I did in my attempt to solve, converted 5/9 to a decimal by dividing 9 into 5-which required adding a 0's which came to .55 repeating. But trying to work both sides of the equation is not getting me the answer book says. So I'm a bit stumped since this is first fraction equation I've tried to solve-with no luck and lots of frustration.

What am I not doing right?
 
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Duckfan said:
For most of the algebra questions I'm working on, I'm doing okay, with an exception here and there. The good news for those who have helped me, I'm getting a handle on the addition and associative properties and finally learned I needed to subtract on both sides of equation. Feeling better about that.

However, I'm on a problem that is fraction related equation-I know how to convert to decimal. But I'm apparently over looking something. But I assume I have to convert to decimal. Yes?

The problem: 5/9 (F-32); F=77

To explain what I did in my attempt to solve, converted 5/9 to a decimal by dividing 9 into 5-which required adding a 0's which came to .55 repeating. But trying to work both sides of the equation is not getting me the answer book says. So I'm a bit stumped since this is first fraction equation I've tried to solve-with no luck and lots of frustration.

What am I not doing right?

Let F be 77, then F - 32 = 77 - 32 = 45.

What's 1/9 of 45?

What's 5/9 of 45?
 

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