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# Fractions

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947
3

A dowelling rod has length 150cm.It is cut into pieces of length 1 1/4 cm.How many such pieces can be cut from the original rod?

May 15, 2014

#2
+24342
+7

$$\\\left( \frac { 150 \;{\not}c{\not}m } { 1\;rod } \right)* \left( \frac{1\;piece } {1\frac{1}{4}\;{\not}c{\not}m} \right)= \frac{150}{\frac{5}{4}}\;\frac{piece}{rod}=\frac{150*4}{5}\;\frac{piece}{rod}= 30*4\;\frac{piece}{rod}=120\;\frac{piece}{rod} \\\\ \Rightarrow 120\;\mbox{pieces per one rod}$$

\\\left(
\frac
{
150
\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m
}
{
1\;rod
}
\right)*
\left( \frac{1\;piece
}
{1\frac{1}{4}\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m} \right)=
\frac{150}{\frac{5}{4}}\;\frac{piece}{rod}=\frac{150*4}{5}\;\frac{piece}{rod}=
30*4\;\frac{piece}{rod}=120\;\frac{piece}{rod}
\\\\
\Rightarrow  120\;\mbox{pieces per one rod}

May 16, 2014

#1
+5

1 1/4  = 1.25

150cm/1.25=120 pieces

May 15, 2014
#2
+24342
+7

$$\\\left( \frac { 150 \;{\not}c{\not}m } { 1\;rod } \right)* \left( \frac{1\;piece } {1\frac{1}{4}\;{\not}c{\not}m} \right)= \frac{150}{\frac{5}{4}}\;\frac{piece}{rod}=\frac{150*4}{5}\;\frac{piece}{rod}= 30*4\;\frac{piece}{rod}=120\;\frac{piece}{rod} \\\\ \Rightarrow 120\;\mbox{pieces per one rod}$$

\\\left(
\frac
{
150
\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m
}
{
1\;rod
}
\right)*
\left( \frac{1\;piece
}
{1\frac{1}{4}\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m} \right)=
\frac{150}{\frac{5}{4}}\;\frac{piece}{rod}=\frac{150*4}{5}\;\frac{piece}{rod}=
30*4\;\frac{piece}{rod}=120\;\frac{piece}{rod}
\\\\
\Rightarrow  120\;\mbox{pieces per one rod}

heureka May 16, 2014
#3
+108608
0

Thanks anonymous and Heureka!

May 16, 2014