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strojnjashka [21]
3 years ago
9

Write the decimal as a fraction or mixed number in simplest form. 9.75

Mathematics
1 answer:
brilliants [131]3 years ago
4 0

<u>✨</u><u>Answer:</u><u>✨</u>

9 3/4 (simplest form)

<u>✨Step-by-step explanation:✨</u>

<em><u>1. Convert decimal into fraction:</u></em>

9.75 = 975/100

<u><em>2. Simplify:</em></u>

975/100 = 39/4 = 9 3/4

<em>A. Reduce fraction to lowest terms (25 is the greatest common divisor of 975 and 100. Reduce by dividing both numerator and denominator by 25):</em>

975/100 = <u>975 ÷ 25</u>   = 39/4

                 100 ÷ 25

<em>B. Convert improper fraction to mixed number:</em>

39/4 = 9 3/4

(39 ÷ 4 = 9 remainder 3)

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A recipe for oatmeal cookies makes 24 cookies. The recipe calls for 2 1/2 cups of flour. Penny wants to make 3/4 of the recipe.
barxatty [35]

Answer:

Penny needs 1\frac{7}{8} cups of flour to make 3/4 of the recipe.

The recipe will make 18 cookies.

Step-by-step explanation:

We have been given that a recipe for oatmeal cookies makes 24 cookies. Penny wants to make 3/4 of the recipe.

To find the number of cookies that will 3/4 of the recipe will make, we need to find 3/4 of 24 as shown below:

\frac{3}{4}\text{ of recipe}=24\times \frac{3}{4}

\frac{3}{4}\text{ of recipe}=6\times \frac{3}{1}

\frac{3}{4}\text{ of recipe}=18

Therefore, the recipe will make 18 cookies.

We are also told that recipe calls for 2 1/2 cups of flour. To find amount of flour needed for 3/4 of the recipe, we will multiply 2 1/2 cups by 3/4 as:

\text{Cups of flour needed to make 3/4 of recipe}=2\frac{1}{2}\times \frac{3}{4}

\text{Cups of flour needed to make 3/4 of recipe}=\frac{5}{2}\times \frac{3}{4}

\text{Cups of flour needed to make 3/4 of recipe}=\frac{5\times 3}{2\times 4}

\text{Cups of flour needed to make 3/4 of recipe}=\frac{15}{8}

\text{Cups of flour needed to make 3/4 of recipe}=1\frac{7}{8}

Therefore, Penny needs 1\frac{7}{8} cups of flour to make 3/4 of the recipe.

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Answer:

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Step-by-step explanation:

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