Answer:
The ratios 7:8 and 42:48 are proportional.
Step-by-step explanation:
Two ratios are called proportional if the ratios are representing the same relationship.
The ratio a:b is proportional to ka:kb.
The first ratio is 7:8, it means
[tex]\frac{7}{8}[/tex]
The second ratio is 42:48.
[tex]\frac{42}{48}=\frac{6\times 7}{6\times 8}[/tex]
cancel out the common factor.
[tex]\frac{42}{48}=\frac{7}{8}[/tex]
Since both ratio represents the same relationship.
[tex]\frac{7}{8}=\frac{7}{8}[/tex]
Therefore ratios 7:8 and 42:48 are proportional.
