Question

Which expression represents the shaded length of the number line below? Choose 1 answer: Choose 1 answer: (Choice A) A 34×32\dfrac{3}{4} \times \dfrac{3}{2}43​×23​start fraction, 3, divided by, 4, end fraction, times, start fraction, 3, divided by, 2, end fraction (Choice B) B 23×54\dfrac{2}{3} \times \dfrac{5}{4}32​×45​start fraction, 2, divided by, 3, end fraction, times, start fraction, 5, divided by, 4, end fraction (Choice C) C 1015×515\dfrac{10}{15} \times \dfrac{5}{15}1510​×155​

Answer 1

Answer:

$Expression = \frac{2}{3} * \frac{5}{4}$

Step-by-step explanation:

See attachment for number line

From the attachment, we have the following details:

The first shade of blue covered 10 blocks

The second shade of blue covered 5 further blocks which totaled to 15

So, the fraction of the blue blocks is:

$Blue = \frac{10}{15}$

Divide fraction by 5/5

$Blue = \frac{10/5}{15/5}$

$Blue = \frac{2}{3}$

Also from the attachment:

The shaded block stopped at the fraction:

$Shaded = \frac{5}{4}$

So, the expression that represents this scenario is:

$Expression = Blue * Shaded$

$Expression = \frac{2}{3} * \frac{5}{4}$

Option (c) answers the question