Respuesta :
Answer:
The simplified fraction is [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Simplifying Fractions
A given fraction [tex]\frac{a}{b}[/tex] can be simplified if a and b have common factors, i.e. if they can be evenly divided by at least one equal number.
The fraction is:
[tex]\frac{42}{56}[/tex]
We'll simplify it by 2 since both numbers are even:
[tex]\frac{42}{56}=\frac{21}{28}[/tex]
The next prime common factor is 7. Dividing by 7:
[tex]\frac{42}{56}=\frac{21}{28}=\frac{3}{4}[/tex]
Thus, the simplified fraction is [tex]\frac{3}{4}[/tex]