Question

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

Answer 1

He doesn't have enough sugar.

Step-by-step explanation:

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

`\begin{gathered} A(b)/(c)=\frac{(A* c)+b_{}}{c} \\ 1(3)/(4)=((1*4)+3)/(4)=(4+3)/(4)=(7)/(4) \end{gathered}`

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:

`(1)/(3)((7)/(4)_{})=(1*7)/(3*4)=(7)/(12)\text{ cups of sugar}`

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.