Processing Math: Done

From Förberedande kurs i matematik 1

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-	{{NAVCONTENT_START}}	+	If we divide up the denominators into their smallest possible integer factors,
-	<center> [[Image:1_2_2d.gif]] </center>	+
-	{{NAVCONTENT_STOP}}	+	{{Displayed math||<math>\begin{align}
		+	45&=5\cdot 9=5\cdot 3\cdot 3\,, \\
		+	75&=3\cdot 25=3\cdot 5\cdot 5\,, \\
		+	\end{align}</math>}}
		+
		+	the expression can be written as
		+
		+	{{Displayed math||<math>\frac{2}{3\cdot 3\cdot 5}+\frac{1}{3\cdot 5\cdot 5}</math>}}
		+
		+	and then we see that the denominators have <math>3\cdot 5</math> as a common factor. Therefore, if we multiply the top and bottom of the first fraction by 5
		+	and the second by 3, the result is the lowest possible denominator
		+
		+	{{Displayed math||<math>\begin{align}
		+	\frac{2}{3\cdot 3\cdot 5}\cdot \frac{5}{5}+\frac{1}{3\cdot 5\cdot 5}\cdot
		+	\frac{3}{3} &=\frac{2}{3\cdot 3\cdot 5\cdot 5}
		+	+\frac{3}{3\cdot 5\cdot 5\cdot 3}\\[10pt]
		+	&= \frac{10}{225}+\frac{3}{225}\,\textrm{.}\\
		+	\end{align}</math>}}
		+
		+	The lowest common denominator is 225.

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Current revision

If we divide up the denominators into their smallest possible integer factors,

4575=59=533=325=355

the expression can be written as

2335+1355

and then we see that the denominators have 35 as a common factor. Therefore, if we multiply the top and bottom of the first fraction by 5 and the second by 3, the result is the lowest possible denominator

233555+135533=23355+33553=10225+3225.

The lowest common denominator is 225.