Rajesh jogged 3/4 mile, and then walked 1/6 mile to cool down. how far did he travel?

Rajesh travelled 11/12 miles.

Rajesh jogged miles

Rajesh worked miles to cool down

To know how far Rajesh travelled, then we have to calculate both fractions  together.

Which is implies  

We have to get the numbers that will divide both denominators (4 and 6), and in this case the number that divide both denominators is 12.

Therefore 12 is the LCD or lowest common denominator.

We have to divide both denominators by the lowest common denominator and multiply the answer you get with the numerators

Therefore we have

Basically what we do to solve this question is to find the lowest common denominator or LCD. The lowest common denominator is always the smallest number that can divide both denominators.

Sometimes you may find it so hard to determine the lowest denominator, particularly if the denominators are large. In case you are faced with large denominators, simply multiply the two denominators together and reduces it down if needed.  

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the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation: