Question1) Express the ratio 2 to 5 in two different forms. 2) In a bar diagram with 16 sections, 6 are shaded. What fractions represent the shaded part? Choices: $\frac{3}{8}$ , $\frac{6}{16}$ .

Studdy Solution

STEP 1

Assumptions1. The ratio given is to5. The bar diagram has16 equal sections3.6 sections of the bar diagram are shaded

STEP 2

First, we need to write the ratio of2 to5 in two other ways. We can do this by using the colon notation and the fraction notation.
$25$ $\frac{2}{5}$

STEP 3

Now, we need to find the fraction that represents the shaded part of the bar diagram. We can do this by dividing the number of shaded sections by the total number of sections.
$Fraction\, of\, shaded\, part = \frac{Number\, of\, shaded\, sections}{Total\, number\, of\, sections}$

STEP 4

Plug in the given values for the number of shaded sections and the total number of sections to calculate the fraction.
$Fraction\, of\, shaded\, part = \frac{6}{16}$

STEP 5

implify the fraction to its lowest terms.
$Fraction\, of\, shaded\, part = \frac{}{16} = \frac{3}{8}$ The ratio of2 to5 can be written in two other ways as25 and $\frac{2}{5}$ , and the fractions that represent the shaded part of the bar diagram are $\frac{}{16}$ and $\frac{3}{8}$ .

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