Question

Susan was supposed to use 5/4 of a cup of butter

in her recipe, but she only used 3/4 of a cup of butter.


a. What fraction of the butter that she should

have used did Susan actually use? Make a

math drawing to help you solve this problem

and explain your solution.


b. Describe the different unit amounts that occur

in part (a). Discuss how one amount can be de-

scribed with two different fractions depending

on what the unit amount is taken to be.

Answer 1

Answer:

$a.\ \dfrac{3}{5}$

Step-by-step explanation:

We can see the fractions $\frac{5}{4}$ and $\frac{3}{4}$ of cups.

It can be seen that denominator has 4 i.e. the fraction $\frac{1}{4}$.

Let us suppose, a unit is equal to $\frac{1}4$ of a cup.

Susan was supposed to use $\frac{5}{4}$ of a cup.

i.e. 5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

$\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}$

a. $\text{Fraction of butter used} = \dfrac{3}{5}$

Alternatively, we could have directly divided the given fractions:

$\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}$

Answer 2

Part A:

The fraction of the butter that she should have used did Susan actually use is :

Fractions =5/4 and 3/4 of cups.

Denominator = 4 i.e. the fraction 1/4

Let us suppose,

A unit is equal to 1/4 of a cup.

Susan was supposed to use 5/4 of a cup.

5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

Fraction of butter used=unit of butter used/unit of butter                        

                                                                 that was supposed to      

                                                                         be use

                                        =3/4/5/4

                                        =3/5

The fraction of the butter that she should have been used is 3/5.

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