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3 . 3 . 4. 4. Is the ratio. the same as the fraction. ?. In this lesson you will learn how ratios and fractions are similar and different by analyzing a picture. Let’s Review. Let’s Review. Two types of ratios. Part-to-Part Ratio. Part-to-Total Ratio. Part-to-Part Ratio.
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3 3 4 4 Is the ratio the same as the fraction ?
In this lesson you will learn how ratios and fractions are similar and different by analyzing a picture.
Let’s Review Let’s Review Two types of ratios Part-to-Part Ratio Part-to-Total Ratio
Part-to-Part Ratio Part-to-Total Ratio 2 1 3 5 Let’s Review Both types of ratios can be written in fraction notation.
Fractions describe part of a total. 1 4 Let’s Review Example:
Part-to-Part Ratio 2 Part-to-Total Ratio 1 3 5 Thinking that all ratios are fractions
Part-to-total ratio: blue to total slices 3 out of 8 three-eighths 3 to 8 3:8 Part-to-part ratio: blue to white slices 3 out of 5 three-fifths 3 to 5 3:5
Even though we can write all ratios with fraction bars, they are not always really fractions. Part-to-total ratios ARE fractions. Part-to-part ratios ARE NOT fractions.
blue slices white slices 3 5 To be clear, include units.
In this lesson you have learned how ratios and fractions are similar and differentby analyzing a picture.
1 4 David writes that the ratio of girls to boys is 1:4 or . He tells his teacher that one-fourth of the students are girls. Do you agree? If not, what mistake did he make?
Decide if each statement is true or false. If it is false, give an example that shows why. • Ratios are always fractions. • Fractions are always ratios.
1 2 Donna says that four-ninths of the checkers are black. Do you agree? If not, what mistake did she make? Josh see that the ratio of boys to girls is , so he says that half of the students are boys. Do you agree? If not, what mistake did he make?