By getting the lowest common denominator, the first step in evaluating
5
8
+
3
40
\displaystyle \frac{{5}}{{8}}+\frac{{3}}{{40}}
8
5
+
40
3
is:
5
8
+
3
40
=
5
+
3
40
\displaystyle \frac{{5}}{{8}}+\frac{{3}}{{40}}=\frac{{{5}+{3}}}{{40}}
8
5
+
40
3
=
40
5
+
3
5
8
+
3
40
=
5
+
3
8
+
40
\displaystyle \frac{{5}}{{8}}+\frac{{3}}{{40}}=\frac{{{5}+{3}}}{{{8}+{40}}}
8
5
+
40
3
=
8
+
40
5
+
3
5
8
+
3
40
=
5
×
5
8
×
5
+
3
40
\displaystyle \frac{{5}}{{8}}+\frac{{3}}{{40}}=\frac{{{5}\times{5}}}{{{8}\times{5}}}+\frac{{3}}{{40}}
8
5
+
40
3
=
8
×
5
5
×
5
+
40
3
5
8
+
3
40
=
5
×
40
8
×
40
+
3
×
8
40
×
8
\displaystyle \frac{{5}}{{8}}+\frac{{3}}{{40}}=\frac{{{5}\times{40}}}{{{8}\times{40}}}+\frac{{{3}\times{8}}}{{{40}\times{8}}}
8
5
+
40
3
=
8
×
40
5
×
40
+
40
×
8
3
×
8
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