Question

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

$1$

$\dfrac{25}{16}$

$2$

$\dfrac{43}{20}$

$\dfrac{47}{16}$

Answer: B

Concepts:fraction

Difficulty rating: 560

Small Hint:

Add the numerator fractions first.

Big Hint:

Dividing by $\frac{4}{5}$ means multiplying by $\frac{5}{4}.$

Solution:

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

Thus, the correct answer is B .

1998 AMC 8 Problem 3

Answer: B

Difficulty rating: 560

Small Hint:

Big Hint:

Solution:

Problem 3 in Other Years