Answer:
[tex]\Large \boxed{\frac{42}{23}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{21}{40} \div \frac{23}{80}[/tex]
Performing reciprocal of the second fraction.
[tex]\Rightarrow \displaystyle \frac{21}{40} \cdot \frac{80}{23}[/tex]
Multiplying both fractions.
[tex]\Rightarrow \displaystyle \frac{1680}{920}[/tex]
Simplifying the fraction.
[tex]\Rightarrow \displaystyle \frac{42(40)}{23(40)}[/tex]
[tex]\Rightarrow \displaystyle \frac{42}{23}[/tex]
