A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes this proportion: StartFraction 4 over 6 EndFraction = StartFraction 24 over 16 EndFraction Explain the error in the student's work.

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Answer:

Values are switched, ratio should be 16/24

Step-by-step explanation:

The student's ratios are wrong because the values in the right side of the equality are switched, the proposed equality is:

[tex]\frac{4\ oranges}{6\ ounces}=\frac{24\ oranges}{16\ ounces}[/tex]

To find the correct ratio, simply multiply the number of oranges and number of fluid ounces by 4. The correct equality should be:

[tex]\frac{4\ oranges}{6\ ounces}=\frac{16\ oranges}{24\ ounces}[/tex]

The ratio should be 16/24

sample explanation:

The second ratio in the proportion is set up as ounces over oranges. The units should be in the same place in the proportion as the first ratio.