Cups of flour

Jade was baking cupcakes for her class. She has 4 5/4 cups of flour.  For one batch, she used 1 2/3 cups of flour.  On another batch, she used 7/9 of a cup of flour.  How much flour does Jade have left after making the two batches of cupcakes?

Correct answer:

x =  2.8056

Step-by-step explanation:

$$\begin{gathered} f=4{\displaystyle \frac{5}{4}}=4+{\displaystyle \frac{5}{4}}={\displaystyle \frac{4\cdot 4+5}{4}}={\displaystyle \frac{21}{4}}=5.25 \\ a=1{\displaystyle \frac{2}{3}}=1+{\displaystyle \frac{2}{3}}={\displaystyle \frac{1\cdot 3+2}{3}}={\displaystyle \frac{5}{3}}\doteq 1.6667 \\ b={\displaystyle \frac{7}{9}}\doteq 0.7778 \\ x=f-a-b=5.25-1.6667-0.7778={\displaystyle \frac{101}{36}}=2\frac{29}{36}=2.8056 \end{gathered}$$

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