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frozen [14]
3 years ago
6

Use the fraction strips to compare 2/4 and 5/8. use the drop-down menus to explain your comparison.

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

2

5

\dfrac{4}{5}

Step-by-step explanation:

We are given 2 fractional numbers:

1.\ \dfrac{2}4\\2.\ \dfrac{5}8

We have to use fraction strips to compare to the fractional numbers.

Let we are Comparing \frac{2}{4} with the length of x number of \frac{1}4 sections.

i.e.

\dfrac{2}{4}  = x \times \dfrac{1}{4}\\\Rightarrow x = \dfrac{2 \times 4}{4}\\\Rightarrow x = 2

Let we are Comparing \frac{5}{8} with the length of y number of \frac{1}8 sections.

i.e.

\dfrac{5}{8}  = y \times \dfrac{1}{8}\\\Rightarrow y = \dfrac{5 \times 8}{8}\\\Rightarrow y = 5

Now, let us have a look at 3rd part of question:

The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8

Let the answer be z.

So, the equation becomes:

\dfrac{2}{4} = z \times \dfrac{5}{8}\\\Rightarrow z = \dfrac{2 \times 8}{4 \times 5}\\\Rightarrow z = \dfrac{2 \times 2}{5}\\\Rightarrow z = \dfrac{4}{5}

So, the answers are:

2

5

\dfrac{4}{5}

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