Question

a warehouse has 1 and 3/10 meters of tape if they divide the tape onto pieces that are 5/8 meters long then how many pieces will they have

Answer 1

Given:

Given that, a warehouse has $1\frac{3}{10}$ meters of tape and they divided the tape into pieces of $\frac{5}{8}$ meters long.

To find:

We need to find the number of pieces after dividing.

Solution:

To find the number of pieces, we should divide the total length of the tape by the length after dividing the tape.

Before dividing, we need to convert the mixed fractions into improper fractions.

$\Rightarrow 1\frac{3}{10}$

$\Rightarrow \frac{10\times1+3}{10}$

$\Rightarrow \frac{10+3}{10}$

$\Rightarrow \frac{13}{10}$

Now, divide the numbers.

Number of pieces $= \frac{\frac{13}{10}}{\frac{5}{8}}$

                               $=\frac{13}{10}\times\frac{8}{5}$

                               $=\frac{13\times8}{10\times5}$

                               $=\frac{104}{50}$

                               $=\frac{52}{25}$

Now convert the above improper fraction into mixed fraction.

                               $=\frac{25\times2+2}{25}$

                               $=2\frac{2}{25}$

Therefore, the number of pieces are $=2\frac{2}{25}$.