Answer:
[tex]\frac{42 \text{Pens} }{35 \text{Pencils}}[/tex] or [tex]\frac{6 \text{Pens} }{5 \text{Pencils}}[/tex]
Step-by-step explanation:
Ratio is defined as the comparison between the two sizes.
a:b = a/b
We have to find the ratio for 42 pens : 35 pencils as a fraction:
Given:
[tex]42 \text{Pens} : 35 \text{Pencils}[/tex]
By definition:
⇒[tex]\frac{42 \text{Pens} }{35 \text{Pencils}}[/tex]
Divide numerator and denominator by 7 we get;
[tex]\frac{6 \text{Pens} }{5 \text{Pencils}}[/tex]
Therefore, the ratio for 42 pens : 35 pencils as a fraction is,
[tex]\frac{42 \text{Pens} }{35 \text{Pencils}}[/tex] or [tex]\frac{6 \text{Pens} }{5 \text{Pencils}}[/tex]