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kai is using clay to make bowls. Ech bowl uses 4/5 ib of clay . kai has 2 2/5 ib of clay

how many bowls can kai make

3 answers

To find out how many bowls Kai can make, we need to divide the total amount of clay he has by the amount of clay used for each bowl.

  1. First, let's convert the mixed number \(2 \frac{2}{5}\) pounds of clay into an improper fraction.

\[ 2 \frac{2}{5} = \frac{2 \times 5 + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5} \]

  1. The amount of clay needed for each bowl is \( \frac{4}{5} \) pounds.

  2. Now, we can divide the total clay by the clay needed for each bowl:

\[ \text{Number of bowls} = \frac{\text{Total clay}}{\text{Clay per bowl}} = \frac{\frac{12}{5}}{\frac{4}{5}} \]

  1. Dividing fractions involves multiplying by the reciprocal:

\[ \frac{12}{5} \div \frac{4}{5} = \frac{12}{5} \times \frac{5}{4} = \frac{12 \times 5}{5 \times 4} = \frac{12}{4} = 3 \]

Thus, Kai can make 3 bowls with the clay he has.

blank number 1 divided by blank number two equals three.
fill in blank number 1
A - 4/5
B 2 2/5
c - 3

To fill in the blanks for the equation "blank number 1 divided by blank number 2 equals 3," we can set up the equation as follows:

\[ \text{blank number 1} \div \text{blank number 2} = 3 \]

This can be rewritten as:

\[ \text{blank number 1} = 3 \times \text{blank number 2} \]

We have the following options to check:

  • A: \( \frac{4}{5} \)
  • B: \( 2 \frac{2}{5} \) (which is \( \frac{12}{5} \))
  • C: \( 3 \)

Let's evaluate this for each possible blank number for blank number 2:

Using Option A (\( \frac{4}{5} \)):

  1. If blank number 2 is \( \frac{4}{5} \): \[ \text{blank number 1} = 3 \times \frac{4}{5} = \frac{12}{5} \]

  2. Since \( \frac{12}{5} \) does not match any of the options provided, this does not work.

Using Option B (\( 2 \frac{2}{5} = \frac{12}{5} \)):

  1. If blank number 2 is \( \frac{12}{5} \): \[ \text{blank number 1} = 3 \times \frac{12}{5} = \frac{36}{5} \]

  2. Since \( \frac{36}{5} \) does not match any of the options provided, this does not work.

Using Option C (\( 3 \)):

  1. If blank number 2 is \( 3 \): \[ \text{blank number 1} = 3 \times 3 = 9 \]

  2. Since \( 9 \) does not match any of the options provided, this does not work.

Since we don't have satisfactory results using each option as blank number 2, let's assume that:

  • If blank number 1 should be \( 9 \) and blank number 2 should logically work with 9 / 3 = 3.

However, if we need to fill in blank number 2 from provided options (A, B, or C), only B yields a reasonable result as an amount when used to find the corresponding blank number 1.

Final conclusion:

If you can reconsider the definitions of blank number 1 and blank number two, it will be easier to solve for numbers. But if forced to select:

Blank Number 1: You can't fill this without further definition of what each representation means. If blank number 2 = \( 2 \frac{2}{5} \), then blank number 1 = \( \frac{36}{5} \), and if using A instead as a pair, it returns logical scenarios but does not yield desired output. Would require further adjustment of numerical values provided.

Thus, if you need a match:

  • A: \( \frac{4}{5} \) (as blank number 1)
  • B: \( 2 \frac{2}{5} \) (as blank number 2) Doesn't yield expected output, filter into the clearer numeric behaviors for shared results.

For basic assumption completion:

  • An initial proposition could be purpose-built 9 with a target evaluative of stability if both next calling needs. ;)

Hope this helps align any gaps needed in definitions provided! 👍🏼