The jogging track at Rahul's school is mile long. Yesterday Rahul com

1.	The jogging track at Rahul's school is mile long. Yesterday Rahul completed two laps on the track. If he ran of the distance and walked the remainder of the way, how far did he walk?
Answer» The jogging track is $\dfrac{3}{4}$ miles long, and Rahul completed two laps around the track, so to find how FAR he has completed you would multiply only the numerator of $\dfrac{3}{4}$ by 2 (because if you multiplied both the numerator and the denominator by 2, it would just be an equivalent fraction of $\dfrac{3}{4}$ ). $\dfrac{3}{4} \times \dfrac{2}{1} = \dfrac{6}{4}$ , so Rahul has completed $\dfrac{6}{4}$ miles ( $1\dfrac{1}{2}$ ). Rahul RAN $\dfrac{1}{3}$ of the distance, so divide $\dfrac{6}{4}$ by 3 to find out how much is one-third of the total distance he has completed. $\dfrac{6}{4} \div 3$ → $\dfrac{6}{4} \times \dfrac{1}{3}$ (multiplying by the reciprocal is the same thing as dividing) $\dfrac{6}{4} \times \dfrac{1}{3}$ = $\dfrac{6}{12}$ , or $\dfrac{1}{2}$ Subtract one-third of the total distance, which we just found is $\dfrac{1}{2}$ miles, from the total distance Rahul completed, $\dfrac{6}{4}$ miles. $\dfrac{6}{4} - \dfrac{1}{2}$ Multiply $\dfrac{1}{2}$ by $\dfrac{2}{2}$ to make both fractions have common DENOMINATORS. Your new subtraction PROBLEM should look like: $\dfrac{6}{4} - \dfrac{2}{4} = \dfrac{4}{4}$ , which is equivalent to 1, so this means that Rahul walked 1 mile.

The jogging track at Rahul's school is mile long. Yesterday Rahul completed two laps on the track. If he ran of the distance and walked the remainder of the way, how far did he walk?

Answer»

The jogging track is $\dfrac{3}{4}$ miles long, and Rahul completed two laps around the track, so to find how FAR he has completed you would multiply only the numerator of $\dfrac{3}{4}$ by 2 (because if you multiplied both the numerator and the denominator by 2, it would just be an equivalent fraction of $\dfrac{3}{4}$ ).

$\dfrac{3}{4} \times \dfrac{2}{1} = \dfrac{6}{4}$ , so Rahul has completed $\dfrac{6}{4}$ miles ( $1\dfrac{1}{2}$ ).

Rahul RAN $\dfrac{1}{3}$ of the distance, so divide $\dfrac{6}{4}$ by 3 to find out how much is one-third of the total distance he has completed.

$\dfrac{6}{4} \div 3$ → $\dfrac{6}{4} \times \dfrac{1}{3}$ (multiplying by the reciprocal is the same thing as dividing)

$\dfrac{6}{4} \times \dfrac{1}{3}$ = $\dfrac{6}{12}$ , or $\dfrac{1}{2}$

Subtract one-third of the total distance, which we just found is $\dfrac{1}{2}$ miles, from the total distance Rahul completed, $\dfrac{6}{4}$ miles.

$\dfrac{6}{4} - \dfrac{1}{2}$

Multiply $\dfrac{1}{2}$ by $\dfrac{2}{2}$ to make both fractions have common DENOMINATORS. Your new subtraction PROBLEM should look like:

$\dfrac{6}{4} - \dfrac{2}{4} = \dfrac{4}{4}$ , which is equivalent to 1, so this means that Rahul walked 1 mile.

The jogging track at Rahul's school is mile long. Yesterday Rahul completed two laps on the track. If he ran of the distance and walked the remainder of the way, how far did he walk?

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