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Simple work problem question

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by raj22 » Tue Feb 23, 2010 2:37 pm
guys

apologize if this is a very basic question but I was going to through the official book on page 141 and found an equation step that I don't get

1/6 + 1/R = 1/4

The next line shows
R+6/6R = 1/4

How did they reach the 2nd line? I know about bringing both sides of the equation to a common denominator but don't get how they are doing this

Thanks
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Source: — Quantitative Reasoning |
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by arzanr » Tue Feb 23, 2010 4:41 pm
raj22 wrote:guys

apologize if this is a very basic question but I was going to through the official book on page 141 and found an equation step that I don't get

1/6 + 1/R = 1/4

The next line shows
R+6/6R = 1/4

How did they reach the 2nd line? I know about bringing both sides of the equation to a common denominator but don't get how they are doing this

Thanks

This follows basic addition of fractions:

1/6 + 1/R

A common multiple of 6 and R would be 6R. Therefore, multiply the first fraction by R and the second by 6:

1(R)/6(R) + 1(6)/R(6)

Now you have a common denominator, so join the fraction:

[(1)(R)+(1)(6)]/R(6) = (R+6)/6R
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by raj22 » Tue Feb 23, 2010 7:05 pm
dam, i knew the formula but just wasn't able to apply it. Stupid!

Thanks so much for your quick response
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