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How do you multiply 1 2/5 × 5

 Jan 22, 2015

Best Answer 

 #2
avatar+118677 
+8

Thanks Tenacious, you are right there are a number of methods   

 

You calc method is good but you actually do not need the inside brackets because division is done before addition.   BUT if you are not sure then it is always a good idea to add the brackets.

(1+(2/5)*5 = (1+2/5)*5

 

$$\\1\frac{2}{5}*5\\\\
=\frac{5*1+2}{5}*\frac{5}{1}\\\\
=\frac{7}{5}*\frac{5}{1}\\\\
=\frac{7}{\not{5}}*\frac{\not{5}}{1}\\\\
=7$$

 Jan 23, 2015
 #1
avatar+226 
+5

There are a number of ways you could do this.

If you know what $${\frac{{\mathtt{2}}}{{\mathtt{5}}}}$$ is as a decimal you could just type this in after the "1", then multiply by "5". I you wanted to know what $${\frac{{\mathtt{2}}}{{\mathtt{5}}}}$$ is as a decimal you could just type 2/5= into a calculator and it would tell you. You might be able to guess this as it's quite a simple fraction.

A possibly quicker method if you didn't know what the decimal of the fraction was would be to type (1+(2/5))*5=   This might look a bit over complicated but it's basically saying 1 and $${\frac{{\mathtt{2}}}{{\mathtt{5}}}}$$ multiplied by 5 equals.

 Jan 23, 2015
 #2
avatar+118677 
+8
Best Answer

Thanks Tenacious, you are right there are a number of methods   

 

You calc method is good but you actually do not need the inside brackets because division is done before addition.   BUT if you are not sure then it is always a good idea to add the brackets.

(1+(2/5)*5 = (1+2/5)*5

 

$$\\1\frac{2}{5}*5\\\\
=\frac{5*1+2}{5}*\frac{5}{1}\\\\
=\frac{7}{5}*\frac{5}{1}\\\\
=\frac{7}{\not{5}}*\frac{\not{5}}{1}\\\\
=7$$

Melody Jan 23, 2015

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