Answer:
5/6
Step-by-step explanation:
Dividing fractions:
Step 1: Rewrite the first fraction as it is.
Step 2: Replace the division sign with a multiplication sign.
Step 3: Flip the second fraction.
Step 4: Multiply the fractions and reduce the product if necessary.
Let's use the rule of dividing fractions on your problem.
Step 1: Rewrite the first fraction as it is.
[tex] \dfrac{5}{8} [/tex]
Step 2: Replace the division sign with a multiplication sign.
[tex] \dfrac{5}{8} \times [/tex]
Step 3: Flip the second fraction.
[tex] \dfrac{5}{8} \times \dfrac{4}{3} [/tex]
Step 4: Multiply the fractions and reduce the product if necessary.
To multiply fractions, multiply the numerators together, and multiply the denominators together.
[tex] \dfrac{5}{8} \times \dfrac{4}{3} = \dfrac{5 \times 4}{8 \times 3} = \dfrac{20}{24} [/tex]
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.
[tex] = \dfrac{4 \times 5}{4 \times 6} = \dfrac{5}{6} [/tex]
