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Answer:
see explanation
Step-by-step explanation:
He cycles [tex]\frac{3}{4}[/tex] Km and jogs [tex]\frac{3}{4}[/tex] - [tex]\frac{1}{6}[/tex]
Adding the 2 together gives the total he cycled/ jogged
[tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{1}{6}[/tex]
We require the denominators to be common before adding/ subtracting
The lowest common denominator of 4 and 6 is 12, hence
= [tex]\frac{9}{12}[/tex] + [tex]\frac{9}{12}[/tex] - [tex]\frac{2}{12}[/tex]
= [tex]\frac{9+9-2}{12}[/tex]
= [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex] Km
Do 3/4 x 3 = 9/12
Do 1/6 x 2 = 2/12
Then do 9/12 - 2/12 = 7/12
Next you do 7/12 + 9/12 = 16/12
Then simplify. 1 4/12
Simplify again. 1 1/3