chapter name series Q. Find the flowing
1. 1/3+1/2=
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1 Find the Least Common Denominator (LCD) of
1
2
,
1
3
2
1
,
3
1
. In other words, find the Least Common Multiple (LCM) of
2
,
3
2,3.
LCD =
6
6
2 Make the denominators the same as the LCD.
1
×
3
2
×
3
−
1
×
2
3
×
2
2×3
1×3
−
3×2
1×2
3 Simplify. Denominators are now the same.
3
6
−
2
6
6
3
−
6
2
4 Join the denominators.
3
−
2
6
6
3−2
5 Simplify.
1
6
6
1
1
2
,
1
3
2
1
,
3
1
. In other words, find the Least Common Multiple (LCM) of
2
,
3
2,3.
LCD =
6
6
2 Make the denominators the same as the LCD.
1
×
3
2
×
3
−
1
×
2
3
×
2
2×3
1×3
−
3×2
1×2
3 Simplify. Denominators are now the same.
3
6
−
2
6
6
3
−
6
2
4 Join the denominators.
3
−
2
6
6
3−2
5 Simplify.
1
6
6
1
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