# Solving Simple Mixed Fraction problem?

How do you wrap your head around mixed fraction, does anyone knows how to figure out, can someone give me an example how it can be solved?

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Could you be more specific about what you mean when you say "how it can be solved?" Do you mean how can a number like $3\frac58$ can be expressed as a fraction (not mixed)? – amWhy May 24 '13 at 3:23
PLease give an example of what do you want to solve.So that it will be easy to explain – SMath May 24 '13 at 3:25
When I mean "how it can be solved" I want to know from how the numbers comes together from start to finish in an easy logical way to form it together in a way I can understand? – Marth Neo May 24 '13 at 3:35
Are either of the answers below helpful in that way? – amWhy May 24 '13 at 3:40
It is, Now the answers is flowing to me clearly now. – Marth Neo May 24 '13 at 3:42

$$a +\frac bc = \frac {a\times c}c + \frac bc = \frac{(a\times c) + b}{c}$$

What we do first is like when finding a common denominator between two fractions, only in $a$ above, we have $a = \dfrac a1$:

We multiply $a = \dfrac a1$ by $\dfrac cc = 1$, to get $\dfrac a1 \times \dfrac cc = \;\dfrac{a\times c}{c}\;$ and then add that to the fraction $\dfrac bc$.

For example

$$3 \frac 58\; = \;3 + \frac 58\; = \;\frac{3 \times 8}{8} + \frac 58\; = \;\frac{(3\times 8)+ 5}{8}\; = \;\frac{24 + 5}{8} \;= \;\frac{29}{8}$$

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Good call, you did the general case followed by an example +1 – Amzoti May 24 '13 at 12:03

Here is an example.

$$2 \frac{3}{11}=\frac{2 \cdot 11}{11}+\frac3{11}=\frac{22}{11}+\frac3{11}=\frac{25}{11}$$

Or conversely,

$$\frac{11}3=\frac{11-3 \cdot 3}{3}+\frac{3 \cdot 3}{3}=\frac{11-9}{3}+\frac{9}{3}=\frac{2}{3}+3=3 \frac{2}3$$.

In general,

$$x+\frac{y}{z}=\frac{x \cdot z}{z}+\frac{y}{z}=\frac{x \cdot z +y}z$$ and vice versa.

In most cases you'll encounter $y<z$.

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