Pierre is running 26 and 2/10 miles in a marathon. He has run 3/4 of the way. How far had he run?

Convert all into miles.

26 miles + 2/10 mile

(26 * 10/10) + 2/10 #remember, 10/10=1 and multiplying anything by 1 is itself!

260/10 miles + 2/10 mile

Now the denominator is the same so you can just add the numerator

260+2 = 262

The total miles!

Now 3/4 of it:

Multiply the total miles by 3/4

262 * (3/4)

262 * 3 = 786

786/4 = 196 and 1/2 mile.

That's the distance he has already completed

Distance = (3/4) * (26 2/10 miles)

26 2/10 miles=26 1/5 miles = (5*26+1) / 5 miles=131/5 miles.

Therefore:

distance = (3/4) * (26 2/10 miles) = (3/4) * (131 / 5 miles) =

= (131 * 3) / (4*5) miles=393/20 miles = (19*20+13) 20 miles=19 13/20 miles.

he has run 393/20 miles or 19 13/20 miles