I got started learning about fractions a few days ago, The tutorial I'm using for this, is limited to fractions like this
$g\right)\frac{7}{12}×\frac{8}{21}=\frac{2}{9}$
Now as I'm trying to find further exercices, I keep stumbling upon fraction-based problems that are built like this one.
5.Myltiply.
$a\right)5\frac{1}{4}×2\frac{2}{3}=14$
What does the number on the left mean? I mean the huge 5 and huge 2. is it a whole + a fraction? like 5 + (1/4)??
I would like to further my research on this topic, but I don't know what the name of these types of fractions are.
receiving a link to a tutorial would be fine too, I just don't know what search terms to use.
Also why is the solution 14?
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"is it a whole + a fraction?"
Yes. That is exactly what that means.
$5\frac{1}{4}=5+\frac{1}{4}$. It is a value that is between 5 and 6 that is 1/4 of the way between 5 and 6. It is 5 and then 1/4 more. These are called "mixed fractions"
Now the way to solve this...
$5=5\ast 4/4=20/4$ so $5\frac{1}{4}=5+\frac{1}{4}=\frac{20}{4}+\frac{1}{4}=\frac{21}{4}$
So
$5\frac{1}{4}×2\frac{2}{3}=\left(\frac{4\ast 5}{4}+\frac{1}{4}\right)×\left(\frac{2\ast 3}{3}+\frac{2}{3}\right)=\frac{21}{4}×\frac{8}{3}=\frac{21\ast 8}{3\ast 4}=14$