What is the value of: \dfrac(3)/(8) + (7)/(8)(4)/(5)?

1998 AMC 8 Problem 3 — Solution

1998 AMC 8 Problem 3

Attempt Problem 3 of the 1998 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1998 AMC 8 solutions, or check the answer key.

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What is the value of: $\dfrac{\frac{3}{8} + \frac{7}{8}}{\frac{4}{5}}?$

$1$

$\dfrac{25}{16}$

$2$

$\dfrac{43}{20}$

$\dfrac{47}{16}$

Answer: B

Concepts:fraction

Difficulty rating: 560

Solution:

This evaluates to: $\begin{align*} \dfrac{\frac{3}{8} + \frac{7}{8}}{\frac{4}{5}} &= \dfrac{\frac{5}{4}}{\frac{4}{5}} \\ &=\left(\dfrac 54\right)^2 \\ &= \dfrac{25}{16}.\end{align*}$

Thus, the correct answer is B .

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