a pancake recipe requires one and two quarts cups of milk to one cup of flour. if two and one half cups of milk is used, what quantity of flour will be needed, according to the recipe

Guest Jul 26, 2014

#8**+5 **

Sorry Rosala I misunderstood your question

\\\frac{Flour}{Milk}=\frac{1}{1\frac{2}{4}}=\frac{flour\;needed}{2\frac{1}{2}}\\\\\\

\begin{array}{rll} \frac{1}{1\frac{2}{4}}&=&\frac{flour\;needed}{2\frac{1}{2}}\\\\

2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&2\frac{1}{2}\times \frac{flour\;needed}{2\frac{1}{2}}\\\\

2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&\;flour\;needed\\\\

flour\;needed&=&\;2\frac{1}{2}\div {1\frac{2}{4}}\\\\

\end{array}

This is the LaTex that I used. It looks horrible when it is in a big chunk like this but you can learn to do it a little a time. It is not that hard.

---------------------------------------------------------------------

Just look at this bit

\frac{flour\;needed}{2\frac{1}{2}}

$$\frac{flour\;needed}{2\frac{1}{2}}$$ this is the LaTex output

\ means that a function will follow

frac means fraction the top is in the first parenthesis { } and the bottom is in the next parenthesis { }

But you can see I have embedded another fraction inside second lot of parenthesis so there will be a fraction on the bottom.

Does that make sense?

Melody
Jul 26, 2014

#1**+5 **

*** one and two quarts cups of milk ***

Strange unit measure. Convert it to imperial minims then we can solve it.

Guest Jul 26, 2014

#3**0 **

In that case, it's 1 and 2/3 cups of flour. Assuming a linear proportion. In food prep, it is sometimes not a linear proportion. This probably is.

Guest Jul 26, 2014

#4**+5 **

$$\\\frac{Flour}{Milk}=\frac{1}{1\frac{2}{4}}=\frac{flour\;needed}{2\frac{1}{2}}\\\\\\

\begin{array}{rll}

\frac{1}{1\frac{2}{4}}&=&\frac{flour\;needed}{2\frac{1}{2}}\\\\

2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&2\frac{1}{2}\times \frac{flour\;needed}{2\frac{1}{2}}\\\\

2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&\;flour\;needed\\\\

flour\;needed&=&\;2\frac{1}{2}\div {1\frac{2}{4}}\\\\

\end{array}$$

$${\frac{\left({\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{\mathtt{4}}}}\right)}} = {\frac{{\mathtt{5}}}{{\mathtt{3}}}} = {\mathtt{1.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

$$\mbox{So it looks like you need }1\frac{2}{3}\;\mbox{cups of flour}$$

Melody
Jul 26, 2014

#6**+5 **

Well it is a ratio question and they can be done like fractions.

The ratio of flour to milk will always be the same and this ratio is

$$\begin{array}{rll}

flour&:&milk\\

1&:&1\frac{2}{4}\qquad \mbox{this one you have been given}\\

flour\; needed&:&2\frac{1}{2}\qquad \mbox{This is the new ratio but it must be the same as the other one so I turned them into fractions}\\\\

\frac{1}{1\frac{2}{4}}&=&\frac{flour\;needed}{2\frac{1}{2}}

\end{array}$$

Do you understand now Rosala?

Melody
Jul 26, 2014

#7**0 **

no i mean what function u use to get it one upon the other!like when i type a fraction i latex i cant get it actually as a fraction one upon the other!

rosala
Jul 26, 2014

#8**+5 **

Best Answer

Sorry Rosala I misunderstood your question

\\\frac{Flour}{Milk}=\frac{1}{1\frac{2}{4}}=\frac{flour\;needed}{2\frac{1}{2}}\\\\\\

\begin{array}{rll} \frac{1}{1\frac{2}{4}}&=&\frac{flour\;needed}{2\frac{1}{2}}\\\\

2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&2\frac{1}{2}\times \frac{flour\;needed}{2\frac{1}{2}}\\\\

2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&\;flour\;needed\\\\

flour\;needed&=&\;2\frac{1}{2}\div {1\frac{2}{4}}\\\\

\end{array}

This is the LaTex that I used. It looks horrible when it is in a big chunk like this but you can learn to do it a little a time. It is not that hard.

---------------------------------------------------------------------

Just look at this bit

\frac{flour\;needed}{2\frac{1}{2}}

$$\frac{flour\;needed}{2\frac{1}{2}}$$ this is the LaTex output

\ means that a function will follow

frac means fraction the top is in the first parenthesis { } and the bottom is in the next parenthesis { }

But you can see I have embedded another fraction inside second lot of parenthesis so there will be a fraction on the bottom.

Does that make sense?

Melody
Jul 26, 2014

#9**0 **

Ummm Melody!Does that mean that i will have to write the whole thing like

\\\frac{Flour}{Milk}=\frac{1}{1\frac{2}{4}}=\frac{flour\;needed}{2\frac{1}{2}}\\\\\\

this!

is that what u all write to show the fraction one upon others!

rosala
Jul 26, 2014