Answer:
5/6
Step-by-step explanation:
<em>Dividing fractions:</em>
<em>Step 1: Rewrite the first fraction as it is.</em>
<em>Step 2: Replace the division sign with a multiplication sign.</em>
<em>Step 3: Flip the second fraction.</em>
<em>Step 4: Multiply the fractions and reduce the product if necessary.</em>
Let's use the rule of dividing fractions on your problem.
Step 1: Rewrite the first fraction as it is.
![\dfrac{5}{8}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B5%7D%7B8%7D%20)
Step 2: Replace the division sign with a multiplication sign.
![\dfrac{5}{8} \times](https://tex.z-dn.net/?f=%20%5Cdfrac%7B5%7D%7B8%7D%20%5Ctimes%20)
Step 3: Flip the second fraction.
![\dfrac{5}{8} \times \dfrac{4}{3}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B5%7D%7B8%7D%20%5Ctimes%20%5Cdfrac%7B4%7D%7B3%7D%20)
Step 4: Multiply the fractions and reduce the product if necessary.
To multiply fractions, multiply the numerators together, and multiply the denominators together.
![\dfrac{5}{8} \times \dfrac{4}{3} = \dfrac{5 \times 4}{8 \times 3} = \dfrac{20}{24}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B5%7D%7B8%7D%20%5Ctimes%20%5Cdfrac%7B4%7D%7B3%7D%20%3D%20%5Cdfrac%7B5%20%5Ctimes%204%7D%7B8%20%5Ctimes%203%7D%20%3D%20%5Cdfrac%7B20%7D%7B24%7D%20)
We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.
![= \dfrac{4 \times 5}{4 \times 6} = \dfrac{5}{6}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B4%20%5Ctimes%205%7D%7B4%20%5Ctimes%206%7D%20%3D%20%5Cdfrac%7B5%7D%7B6%7D%20)