Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$13/15+6/4+13/15+3/5$$

Answer

mixed(3,5/6)

Solution


Simplify  \(\frac{6}{4}\)  to  \(\frac{3}{2}\).
\[\frac{13}{15}+\frac{3}{2}+\frac{13}{15}+\frac{3}{5}\]
Find the Least Common Denominator (LCD) of \(\frac{13}{15},\frac{3}{2},\frac{13}{15},\frac{3}{5}\). In other words, find the Least Common Multiple (LCM) of \(15,2,15,5\).
LCD = \(30\)
Make the denominators the same as the LCD.
\[\frac{13\times 2}{15\times 2}+\frac{3\times 15}{2\times 15}+\frac{13\times 2}{15\times 2}+\frac{3\times 6}{5\times 6}\]
Simplify. Denominators are now the same.
\[\frac{26}{30}+\frac{45}{30}+\frac{26}{30}+\frac{18}{30}\]
Join the denominators.
\[\frac{26+45+26+18}{30}\]
Simplify.
\[\frac{115}{30}\]
Simplify.
\[\frac{23}{6}\]
Convert to mixed fraction.
\[3\frac{5}{6}\]

Decimal Form: 3.833333

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