Daisy runs on an oval track that is 1/4 of a mile long. If she runs 5/16 of the way around the track how far did she run?
+427 The total distance of the track is 1/4 miles
She travels 5/16 of the track
She will travel the total distance of the track, multiplied by how much of the track she actually did. So for example if she did half of a track, you would get half of the total, which is the total multiplied by a half.
The total distance she travels will therefore be: 1/4 * 5/16
To multiply fractions easily, look at it like this:
$$\left({\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{5}}}{{\mathtt{16}}}}\right) = {\frac{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{5}}\right)}{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{16}}\right)}}$$
So the total distance is 5 / 64
Since 5 is a prime number that is not a factor of 64, this is the simplest the fraction can get.
If you want it in numerical form, it's about 0.078 (to 2 d.p.)
+427 The total distance of the track is 1/4 miles
She travels 5/16 of the track
She will travel the total distance of the track, multiplied by how much of the track she actually did. So for example if she did half of a track, you would get half of the total, which is the total multiplied by a half.
The total distance she travels will therefore be: 1/4 * 5/16
To multiply fractions easily, look at it like this:
$$\left({\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{5}}}{{\mathtt{16}}}}\right) = {\frac{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{5}}\right)}{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{16}}\right)}}$$
So the total distance is 5 / 64
Since 5 is a prime number that is not a factor of 64, this is the simplest the fraction can get.
If you want it in numerical form, it's about 0.078 (to 2 d.p.)
