Insert three fractions between 1/4 and \(1/3\) so the five fractions form an arithmetic sequence. What is the sum, expressed as a common fraction, of these three new fractions?
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Insert three fractions between 1/4 and 1/3 so the five fractions form an arithmetic sequence.
What is the sum, expressed as a common fraction, of these three new fractions?
We need a common denominator. Let's see how 24 will work.
24 no funciona. There's not enough room between 1/4 & 1/3.
What about 48? 12/48 13/48 14/48 15/48 16/48
48 worked good, so 13/48 + 14/48 + 15/48 = 42/48 = 7/8
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