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In Mathematics / High School | 2014-03-31

Determine which is larger: [tex]\frac{7}{8}[/tex] or [tex]\frac{8}{9}[/tex].

Asked by sales1sj

Answer (3)

8/9 is the larger. 8/9 - 7/8 = 64 /72 - 63/72 = 1/72.

Answered by BJthesmartguy | 2024-06-10

[ 8 7 ​ = 8 ⋅ 9 7 ⋅ 9 ​ = 72 63 ​ 9 8 ​ = 9 ⋅ 8 8 ⋅ 8 ​ = 72 64 ​ 72 63 ​ < 72 64 ​ → 8 7 ​ < 9 8 ​

Answered by Anonymous | 2024-06-10

To determine which is larger between 8 7 ​ and 9 8 ​ , we can convert both fractions to a common denominator of 72. After conversion, we find that 8 7 ​ = 72 63 ​ and 9 8 ​ = 72 64 ​ , showing that 9 8 ​ is larger than 8 7 ​ .
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Answered by Anonymous | 2024-10-31