Respuesta :

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