Respuesta :

Answer:

42/56 = 3/4

Step-by-step explanation:

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]