Answered

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a recipe called for 1 3/4 cups of sugar Martin only had one half cup of sugar if he made one thirds of the recipe would he have enough sugar explain how you know

Sagot :

Answer:

He doesn't have enough sugar.

Explanation:

First, we need to write 1 3/4 as a fraction, so:

[tex]\begin{gathered} A\frac{b}{c}=\frac{(A\times c)+b_{}}{c} \\ 1\frac{3}{4}=\frac{(1\times4)+3}{4}=\frac{4+3}{4}=\frac{7}{4} \end{gathered}[/tex]

Then, if he made 1/3 of the recipe, he will need 1/3 of the 7/4 cups of sugar. So, 1/3 of 7/4 can be calculated as:

[tex]\frac{1}{3}(\frac{7}{4}_{})=\frac{1\times7}{3\times4}=\frac{7}{12}\text{ cups of sugar}[/tex]

Now, he only had one half of a cup, and 7/12 of a cup are equivalent to:

1/2 = 0.5 cups

7/12 = 0.5833 cups

So, since 7/12 is greater than 1/2, we get that he doesn't have enough sugar.

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